Ricardo Costa (2F14-5623-03EB)

Curriculum Vitae

Ricardo Costa

Ricardo Costa obtained his Ph.D. in Science and Engineering of Polymers and Composites from the University of Minho in 2020. His research mainly concerns the development of novel numerical methods and computer algorithms for highly accurate, reliable, and efficient numerical simulations in high-performance computing platforms, and their application in the fields of computational fluid dynamics and computational rheology for materials processing and manufacturing technologies. Some numbers describing his scientific activity: • He has published 18 peer-reviewed journal articles, 2 peer-reviewed book chapters, 5 peer-reviewed conference proceedings, 2 preprints, and 3 scientific datasets. • He has co-authored 1 pedagogical book and teaches bachelor's and master's courses. • He has co-organised 12 international conferences and 1 mini-symposium at international conferences. • He has delivered 1 invited keynote lecture at international conferences, (co-)authored 58 oral and poster presentations at international conferences and workshops, served on 5 scientific and programme committees at international conferences, and served as an invited reviewer for 20 international journals with over 100 reviews performed. • He has (co-)supervised 3 doctoral theses, supervised 1 master's dissertation, supervised several master's projects, and mentored several master's and doctoral students. • He has received 5 awards/honourable mentions. • He has participated in 14 funded scientific projects, 2 as principal investigator, and supervised several researchers. • His personal website is [https://ricardodpcosta.github.io/].

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Identification

Personal identification

Full name: Ricardo Costa

Citation names

Costa, Ricardo

Author identifiers

Ciência ID: 2F14-5623-03EB
ORCID iD: 0000-0002-1904-8317

Email addresses

rcosta@dep.uminho.pt (Professional)

Websites

https://ricardodpcosta.github.io/ (Personal)

Projects

Grant

	Designation	Funders
2021/01 - 2021/05	FAMEST – Footwear, advanced materials, equipment's and software technologies POCI-0247-FEDER-02459 PhD Student Fellow Universidade do Minho, Portugal	Fundação para a Ciência e a Tecnologia Concluded
2020/02 - 2020/03	TSSiPRO – Technologies for sustainable and smart innovative products NORTE-01-0145-FEDER-000015 PhD Student Fellow Universidade do Minho, Portugal	Fundação para a Ciência e a Tecnologia Concluded
2017/02 - 2020/01	IMPULSE – Polymers and composites: Drivers of technological innovation and industrial competitiveness NORTE-08-5369-FSE-000034 PhD Student Fellow Universidade do Minho, Portugal	Fundação para a Ciência e a Tecnologia Concluded
2016/11 - 2017/01	MOLDPRO – Multi-scale approximations for injection molding of plastic materials PTDC/EMS-ENE/3362/2014 Master Student Fellow Universidade do Minho, Portugal	Fundação para a Ciência e a Tecnologia Concluded
2014/11 - 2015/11	GEONUM – New numerical schemes for extreme geophysical phenomena FCT-ANR/MAT-NAN/0122/2012 Master Student Fellow Universidade do Minho, Portugal	Fundação para a Ciência e a Tecnologia Concluded
2013/10 - 2014/10	POLYNUM – Numerical simulations of three-dimensional polymer flows and applications to plastic forming PTDC/MAT/121185/2010 Master Student Fellow Universidade do Minho, Portugal	Fundação para a Ciência e a Tecnologia Concluded
2012/02 - 2013/02	Strategic Project – UI 13 – 2011-2012 PEst-C/MAT/UI0013/2011 Integration into Research Grant Fellow Universidade do Minho, Portugal	Fundação para a Ciência e a Tecnologia Concluded

Contract

	Designation	Funders
2024/09 - 2030/09	SIMPRO – Efficient computation and simulation of complex materials in advanced manufacturing processes 2023.09481.CEECIND Principal investigator Universidade do Minho, Portugal	Fundação para a Ciência e a Tecnologia Ongoing
2026/01/01 - 2028/12/31	HiPMoS4C – High-performance modelling and simulations for companies 2023.16854.ICDT 10.54499/2023.16854.ICDT Universidade de Coimbra, Portugal Universidade do Minho, Portugal	Fundação para a Ciência e a Tecnologia Ongoing
2024/08 - 2025/07	SIMPAR – Hybrid parallel programming model with domain decomposition for efficient fluid flow simulations 2024.07065.CPCA.A1 Principal investigator Universidade do Minho, Portugal	Fundação para a Ciência e a Tecnologia Concluded
2020/01/01 - 2024/12/31	IPC – Institute for Polymers and Composites UIDB/05256/2020 10.54499/UIDB/05256/2020 Researcher Universidade do Minho Instituto de Polímeros e Compósitos, Portugal Universidade do Minho, Portugal	Fundação para a Ciência e a Tecnologia Concluded
2020/01/01 - 2024/12/31	IPC – Institute for Polymers and Composites UIDP/05256/2020 10.54499/UIDP/05256/2020 Researcher Universidade do Minho Instituto de Polímeros e Compósitos, Portugal Universidade do Minho, Portugal	Fundação para a Ciência e a Tecnologia Concluded
2021/06 - 2024/03	ExaFOAM – Exploitation of exascale systems for open-source computational fluid dynamics by mainstream industry H2020-JTI-EUROHPC-2019-1 Researcher Universidade do Minho, Portugal	Fundação para a Ciência e a Tecnologia Concluded
2018/07 - 2022/07	ESC4SHI – Efficient simulation and computation for health, sea and industry POCI-01-0145-FEDER-028118 PTDC/MAT-APL/28118/2017 LISBOA-01-0145- FEDER-028118 Researcher Universidade do Minho, Portugal	Fundação para a Ciência e a Tecnologia Concluded
2021/09 - 2022/01	SIFA – Smart systems for additive manufacturing POCI-01-0247-FEDER-047108 Supervisor Universidade do Minho, Portugal	Fundação para a Ciência e a Tecnologia Concluded
2019/01/01 - 2019/12/31	i3N – Institute of Nanostructures, Nanomodelling and Nanofabrication UID/CTM/50025/2019 154767UID Researcher UNINOVA Instituto de Desenvolvimento de Novas Tecnologias, Portugal Instituto de Nanoestruturas Nanomodelação e Nanofabricação Pólo Universidade Nova de Lisboa, Portugal Universidade Nova de Lisboa, Portugal Universidade de Aveiro, Portugal Universidade Nova de Lisboa Faculdade de Ciências e Tecnologia, Portugal Universidade do Minho, Portugal Universidade Nova de Lisboa Associação para a Inovação e Desenvolvimento da FCT, Portugal	Fundação para a Ciência e a Tecnologia Concluded

Outputs

Publications

Book	Smirnov, Georgui; Brito, Irene; Machado, Gaspar J.; Costa, Ricardo. Linear algebra from a geometrical viewpoint. Braga, Portugal: UMinho Editora. 2025. Published • 10.21814/uminho.ed.174
Book chapter	Costa, Ricardo; Teixeira, Senhorinha; Loureiro, Isabel. "Numerical modeling of the physical parameters of the environment in industrial contexts". In Occupational Safety and Hygiene IV, 281-285. CRC Press, 2016. Published • http://doi.org/10.1201/B21172-56 Costa, Ricardo; Clain, Stéphane; Machado, Gaspar J.. "Finite volume scheme based on cell-vertex reconstructions for anisotropic diffusion problems with discontinuous coefficients". In Lecture Notes in Computer Science 8579, 87-102. Springer, 2014. Published • http://doi.org/10.1007/978-3-319-09144-0_7
Conference abstract	Castro, João; Costa, Ricardo; Nóbrega, J. Miguel. "A novel simulation strategy for the fused filament fabrication process". Paper presented in FOAM@IBERIA 2025 – Iberian Meeting of OpenFOAM Technology Users, Figueira da Foz, 2025. Published Ribeiro, Ricardo; Ramôa, Bruno; Costa, Ricardo; Nóbrega, J. Miguel. "Implementation and verification of a fluid-structure interaction solver for shoe sole injection moulding simulation". Paper presented in OFW 2025 – OpenFOAM Workshop, Viena, 2025. Published Ramôa, Bruno; Costa, Ricardo; Chinesta, Francisco; Nóbrega, J. Miguel. "An open-source framework for modeling fiber orientation evolution in thermoplastics". Paper presented in AERC 2025 – Annual European Rheology Conference, Lyon, 2025. Published Costa, Ricardo; Clain, Stéphane; Machado, Gaspar J.; Nóbrega, J. Miguel. "Very high-order accurate finite volume schemes for vorticity-based formulations of the incompressible Navier-Stokes equations". Paper presented in PICASSO 2025 – Hyperbolic Models, Numerical Analysis and Scientific Computation, Málaga, 2025. Published Costa, Ricardo; Clain, Stéphane; Machado, Gaspar J.; Nóbrega, J. Miguel. "Very high-order accurate finite volume scheme for the streamfunction-vorticity formulation of incompressible fluid flows with polygonal meshes on arbitrary curved boundaries". Paper presented in HONOM 2024 – High-order Nonlinear Numerical Methods for Evolutionary PDEs: Theory and Applications, Chania, 2024. Published Costa, Ricardo; Clain, Stéphane; Machado, Gaspar J.; Nóbrega, J. Miguel. "The incompressible Navier-Stokes equations in streamfunction-vorticity variables: formulation and numerical solution". Paper presented in Congreso Internacional de Matemática y Aplicaciones, Ica, 2024. Published Ramôa, Bruno; Costa, Ricardo; Chinesta, Francisco; Nóbrega, J. Miguel. "Monolithic conjugate heat transfer in OpenFOAM". Paper presented in FOAM@IBERIA 2023 – Iberian Meeting of OpenFOAM Technology Users, Guimarães, 2023. Published Costa, Ricardo; Clain, Stéphane; Machado, Gaspar J.; Nóbrega, J. Miguel; Beirão da Veiga, Hugo; Crispo, Francesca. "The reconstruction for off-site data method for very high-order accurate finite volume schemes on arbitrary curved boundaries". Paper presented in Congreso Internacional de Matemática y Aplicaciones, Ica, 2023. Published Clain, Stéphane; Costa, Ricardo; Lopes, Diogo; Pereira, Rui; Machado, Gaspar J.; Pereira, Paulo. "Very high order methods on non-polygonal domains: The reconstruction off-site data (ROD) method". Paper presented in SIMAI 2023 – Congress of the Italian Society of Applied and Industrial Mathematics, Matera, 2023. Published Costa, Ricardo; Clain, Stéphane; Machado, Gaspar J.; Nóbrega, J. Miguel; Beirão da Veiga, Hugo; Crispo, Francesca. "Very high-order accurate finite volume schemes on polygonal meshes for curved boundary problems". Paper presented in ECMI 2023 – Conference on Industrial and Applied Mathematics, Wroclaw, 2023. Published Costa, Ricardo; Nóbrega, J. Miguel. "Viscoelastic fluid flows for industrial relevant case studies". Paper presented in exaFOAM Workshop, 2023. Published Costa, Ricardo; Clain, Stéphane; Machado, Gaspar J.; Nóbrega, J. Miguel; Beirão da Veiga, Hugo; Crispo, Francesca. Corresponding author: Costa, Ricardo. "The reconstruction for off-site data method for general slip conditions on 3D arbitrary curved boundaries". Paper presented in SHARK-FV 2023 – Sharing High- order Advanced Research Know-how on Finite Volume, São Félix, 2023. Published Costa, Ricardo; Clain, Stéphane; Machado, Gaspar J.; Nóbrega, J. Miguel; Beirão da Veiga, Hugo; Crispo, Francesca. Corresponding author: Costa, Ricardo. "A very high-order accurate finite volume scheme on polygonal meshes for 3D incompressible flows with general slip conditions on curved boundaries". Paper presented in CFC 2023 – 22nd Computational Fluids Conference, Cannes, 2023. Published Costa, Ricardo; Clain, Stéphane; Machado, Gaspar J.; Nóbrega, J. Miguel; Beirão da Veiga, Hugo; Crispo, Francesca. "Imposing slip conditions on curved boundaries for 3D incompressible flows with a very high-order accurate finite volume scheme on polygonal meshes". Paper presented in ENUMATH 2023 – European Conference on Numerical Mathematics and Advanced Applications, Lisboa, 2023. Published Naqvi, Sahrish; Kirimi, Mohsen; Costa, Ricardo; Nóbrega, J. Miguel. Corresponding author: Naqvi, Sahrish. "Improvement of a solver to model the formation of polyurethane foams". Paper presented in OFC 2022 – 10th OpenFOAM Conference, 2022. Published Costa, Ricardo; Clain, Stéphane; Machado, Gaspar J.; Nóbrega, J. Miguel. Corresponding author: Costa, Ricardo. "High-order accurate conjugate heat transfer solutions with a finite volume method in anisotropic meshes with application in polymer processing". Paper presented in CMN 2022 – Congress on Numerical Methods in Engineering, Las Palmas de Gran Canaria, 2022. Published Naqvi, Sahrish; Karimi, Mohsen; Costa, Ricardo; Nóbrega, J. Miguel. Corresponding author: Naqvi, Sahrish. "Improvement of the three-dimensional CFD solver PUFoam for industrial applications". Paper presented in FOAM@IBERIA 2022 – 4th Iberian Meeting of OpenFOAM technology users, Santander, 2022. Published Ribeiro, Ricardo; Ramôa, Bruno; Costa, Ricardo; Nóbrega, J. Miguel. Corresponding author: Ribeiro, Ricardo. "Injection molding simulation in footwear industry". Paper presented in FOAM@IBERIA 2022 – 4th Iberian Meeting of OpenFOAM technology users, Santander, 2022. Published Castro, João; Nóbrega, J. Miguel; Costa, Ricardo. "A computational framework to model the selective laser sintering process". Paper presented in PPI 2023 – International Conference on Polymer Process Innovation, Guimarães, 2022. Published Araújo, Adérito; Barbeiro, Sílvia; Clain, Stéphane; Costa, Ricardo; Machado, Gaspar J.; Santos, Milene. Corresponding author: Santos, Milene. "The reconstruction for off-site data for the discontinuous Galerkin method". Paper presented in EWM General Meeting 2022, Espoo, 2022. Published Ramôa, Bruno; Costa, Ricardo; Chinesta, Francisco; Nóbrega, J. Miguel. Corresponding author: Ramôa, Bruno. "A semi-automatic approach based on the method of manufactured solutions to assess the convergence order in OpenFOAM". Paper presented in OFW 2022 – 17th OpenFOAM Workshop, Cambridge, 2022. Published Ramôa, Bruno; Costa, Ricardo; Chinesta, Francisco; Nóbrega, J. Miguel. "Code verification through the method of manufactured solutions". Paper presented in OFW 2022 – 17th OpenFOAM Workshop, Cambridge, 2022. Published Ribeiro, Ricardo; Ramôa, Bruno; Costa, Ricardo; Nóbrega, J. Miguel. Corresponding author: Ribeiro, Ricardo. "Assessing injection molding simulation in footwear industry". Paper presented in OFW 2022 – 17th OpenFOAM Workshop, Cambridge, 2022. Published Costa, Ricardo; Clain, Stéphane; Machado, Gaspar J.; Nóbrega, J. Miguel. Corresponding author: Costa, Ricardo. "Very high-order accurate finite volume method for the incompressible Navier-Stokes equations with polygonal meshes on arbitrary curved boundaries". Paper presented in HONOM 2022 – High-order Nonlinear Numerical Methods for Evolutionary PDEs: Theory and Applications, Braga, 2022. Published Costa, Ricardo; Nóbrega, J. Miguel; Clain, Stéphane; Machado, Gaspar J.. Corresponding author: Costa, Ricardo. "Efficient very high-order accurate polyhedral mesh finite volume scheme for 3D conjugate heat transfer problems in curved domains". Paper presented in wkoESC4SHI 2021 – Workshop on Efficient Simulation and Computation for Sea, Health and Industry, Guimarães, 2021. Published Costa, Ricardo; Nóbrega, J. Miguel; Clain, Stéphane; Machado, Gaspar J.. "Towards an efficient very high-order accurate polyhedral mesh finite volume scheme for 3D conjugate heat transfer problems in curved domains". Paper presented in wkoESC4SHI 2020 – Workshop on Efficient Simulation and Computation for Sea, Health and Industry, Lisboa, 2020. Published Costa, Ricardo; Nóbrega, J. Miguel; Clain, Stéphane; Machado, Gaspar J.. "Very high-order accurate finite volume scheme on polygonal meshes for general boundary conditions on curved boundaries". Paper presented in CMN 2019 – Congress on Numerical Methods in Engineering, Guimarães, 2019. Published Costa, Ricardo; Nóbrega, J. Miguel; Clain, Stéphane; Machado, Gaspar J.. "Innovative numerical methods to improve the performance of computational rheology simulations in polymer processing applications". Paper presented in PPS-35 – 35th International Conference of the Polymer Processing Society, Cesme, 2019. Published Costa, Ricardo; Nóbrega, J. Miguel; Clain, Stéphane; Machado, Gaspar J.. "Very high-order accurate finite volume methods for computational rheology and advanced applications". Paper presented in wkoESC4SHI 2019 – Kick-off Workshop on Efficient Simulation and Computation for Sea, Health and Industry, Coimbra, 2019. Published Costa, Ricardo; Nóbrega, J. Miguel. "A finite volume method in the framework of proper generalized decomposition for the convection-diffusion-reaction equation". Paper presented in SYMCOMP 2017 – 3rd International Conference on Numerical and Symbolic Computation: Developments and Applications, Guimarães, 2017. Published Costa, Ricardo; Teixeira, Senhorinha; Loureiro, Isabel. "Numerical assessment of thermal environments for decision-making in industrial engineering and management". Paper presented in ENEGI 2016 – Encontro Nacional de Engenharia e Gestãoo Industrial, Covilhã, 2016. Published Costa, Ricardo; Correia, Aldina; Dória-Nóbrega, Sónia. "Control charts for monitoring an obstetrician service performance". Paper presented in ECMI 2016 – European Conference on Mathematics for Industry, Santiago de Compostela, 2016. Published Costa, Ricardo; Clain, Stéphane; Machado, Gaspar J.; Loubère, Raphaël. "High-order accurate finite volume method for curved boundaries and non-matching domain-mesh problems". Paper presented in SHARK-FV 2016 – Sharing High- order Advanced Research Know-how on Finite Volume, São Félix, 2016. Published Costa, Ricardo; Teixeira, Senhorinha; Loureiro, Isabel. "Numerical modeling of the physical parameters of the environment in industrial contexts". Paper presented in SHO 2016 – International Symposium on Occupational Safety and Hygiene, Guimarães, 2016. Published Costa, Ricardo; Teixeira, Senhorinha; Loureiro, Isabel. "Numerical modeling and assessment of the thermal environment in an industrial premise of automotive components". Paper presented in ENEGI 2015 – Encontro Nacional de Engenharia e Gestão Industrial, Lisboa, 2015. Published Costa, Ricardo; Clain, Stéphane; Machado, Gaspar J.. "High-order finite volume scheme for the incompressible Navier- Stokes equations on staggered unstructured meshes". Paper presented in SHARK-FV 2015 – Sharing High- order Advanced Research Know-how on Finite Volume, Ofir, 2015. Published Costa, Ricardo; Clain, Stéphane; Machado, Gaspar J.. "A sixth-order finite volume scheme for the steady-state incompressible Stokes equations on staggered unstructured meshes". Paper presented in HONOM 2015 – European Workshop on High-order Nonlinear Numerical Methods for Evolutionary PDEs: Theory and Applications, Trento, 2015. Published Costa, Ricardo; Clain, Stéphane; Machado, Gaspar J.. "6th-order finite volume approximations for the Stokes equations with a curved boundary". Paper presented in SYMCOMP 2015 – 2nd International Conference on Numerical and Symbolic Computation: Developments and Applications, Faro, 2015. Published Costa, Ricardo; Clain, Stéphane; Machado, Gaspar J.. "Numerical simulation of heat and mass transfer problems using high-order finite volume method". Paper presented in POLYNUM 2014 – Numerical Simulation of Three-dimensional Polymer Flows and Application to Plastic Forming, Guimarães, 2014. Published Costa, Ricardo; Clain, Stéphane; Machado, Gaspar J.. "Finite volume scheme based on cell-vertex reconstructions for anisotropic diffusion problems with discontinuous coefficients". Paper presented in ICCSA 2014 – International Conference on Computational Science and Its Applications, Guimarães, 2014. Published Costa, Ricardo; Clain, Stéphane; Machado, Gaspar J.. "A new cell-vertex reconstruction method for finite volume schemes". Paper presented in SHARK-FV 2014 – Sharing High-order Advanced Research Know-how on Finite Volume, Ofir, 2014. Published Costa, Ricardo; Clain, Stéphane; Machado, Gaspar J.. "Sophisticated numerical methods for computational simulation in engineering". Paper presented in EJIUM 2013 – II Encontro de Jovens Investigadores da U.Minho, Braga, 2013. Published Costa, Ricardo; Clain, Stéphane; Machado, Gaspar J.. "A new second-order finite volume scheme for 2D and 3D convection-diffusion problems". Paper presented in MMNSEA 2013 – Mathematical Modelling and Numerical Simulation for Engineering Applications, Guimarães, 2013. Published Costa, Ricardo; Clain, Stéphane; Machado, Gaspar J.. "Bending of a beam with finite volume schemes". Paper presented in SYMCOMP 2013 – International Conference on Algebraic and Symbolic Computation, Lisboa, 2013. Published Costa, Ricardo; Clain, Stéphane; Machado, Gaspar J.. "Finite volume schemes with vertex values for the 2D and 3D convection-diffusion problem". Paper presented in POLYNUM 2013 – Numerical Simulation of Three-dimensional Polymer Flows and Application to Plastic Forming, Guimarães, 2013. Published
Conference paper	Magalhães, Gabriel M.; Costa, Ricardo; Nóbrega, J. Miguel. "Enhancing coupled numerical simulations of viscoelastic flows through physical property analysis". Paper presented in AIP Conference Proceedings, 3400, 050001, 2025. Published • http://doi.org/10.1063/5.0282477 Castro, João; Nóbrega, J. Miguel; Costa, Ricardo. "Computational modelling of the selective laser sintering process". Paper presented in AIP Conference Proceedings 2997(1), 050001, 2023. Published • http://doi.org/10.1063/5.0159825 Costa, Ricardo; Teixeira, Senhorinha; Loureiro, Isabel. "Numerical assessment of thermal environments for decision-making in industrial engineering and management". Paper presented in Proceedings of the ENEGI 2016, 28-29, 2016. Published • https://www.ubi.pt/ficheiros/paginas/684/proceedings.pdf Costa, Ricardo; Clain, Stéphane; Machado, Gaspar J.. "6th-order finite volume approximations for the stokes equations with a curved boundary". Paper presented in Proceedings of the SYMCOMP 2015, 365-382, 2015. Published • http://hdl.handle.net/1822/35092 Costa, Ricardo; Clain, Stéphane; Machado, Gaspar J.. "Bending of a beam with finite volume schemes". Paper presented in Proceedings of the SYMCOMP 2013, 207-218, 2013. Published • http://doi.org/1822/27452
Conference poster	Castro, João; Nóbrega, J. Miguel; Costa, Ricardo. "Computational framework to model the fused filament fabrication process". Paper presented in INOV.AM International Conference – Shaping Tomorrow, 2024. Costa, Ricardo; Nóbrega, J. Miguel. "Stability analysis of viscoelastic fluid flow solvers for industrial relevant case studies". Paper presented in FOAM@IBERIA 2023 – Iberian Meeting of OpenFOAM Technology Users, 2023. Magalhães, Gabriel M.; Costa, Ricardo; Nóbrega, J. Miguel. "On the assessment of different coupling approaches to model viscoelastic fluid flows". Paper presented in FOAM@IBERIA 2023 – Iberian Meeting of OpenFOAM Technology Users, 2023. Castro, João; Nóbrega, J. Miguel; Costa, Ricardo. "Computational framework to model the selective laser sintering process". Paper presented in FOAM@IBERIA 2023 – Iberian Meeting of OpenFOAM Technology Users, 2023. Ribeiro, Ricardo; Ramôa, Bruno; Costa, Ricardo; Nóbrega, J. Miguel. "Wall boundary conditions for injection molding simulation". Paper presented in FOAM@IBERIA 2023 – Iberian Meeting of OpenFOAM Technology Users, 2023. Santos, Milene; Araújo, Adérito; Barbeiro, Sílvia; Clain, Stéphane; Costa, Ricardo; Machado, Gaspar J.. "High-order discontinuous Galerkin method on curved boundaries". Paper presented in WM23 – Women in Mathematics Meeting, 2023. Castro, João; Nóbrega, J. Miguel; Costa, Ricardo. "Computational framework to model the selective laser sintering process". Paper presented in PPS-38 – International Conference of the Polymer Processing Society, 2023. Castro, João; Costa, Ricardo; Nóbrega, J. Miguel. "Computational modelling of the selective laser sintering process in OpenFOAM". Paper presented in FOAM@IBERIA 2022 – Iberian Meeting of OpenFOAM Technology Users, 2022. Golhar, Jayesh; Costa, Ricardo; Nóbrega, J. Miguel. "Towards fractional viscoelastic models in OpenFOAM". Paper presented in FOAM@IBERIA 2022 – Iberian Meeting of OpenFOAM Technology Users, 2022. Costa, Ricardo; Nóbrega, J. Miguel; Clain, Stéphane; Machado, Gaspar J.. "Improving the performance of computational modelling tools for polymer processing applications through innovative numerical methods". Paper presented in POLÍMEROS 2019 – Ciência, Tecnologia e Inovação, 2019. Fontaínhas, Ana; Pedro, João; Romero, João; Costa, Ricardo; Nóbrega, J. Miguel; Fernandes, Célio. "Development and verification of an open-source computational framework to simulate injection moulding". Paper presented in CMN 2019 – Congress on Numerical Methods in Engineering, 2019. Costa, Ricardo; Nóbrega, J. Miguel; Clain, Stéphane; Machado, Gaspar J.. "Improving the performance of computational modelling tools for polymer processing applications through innovative numerical methods". Paper presented in FOAM@IBERIA – 3rd Iberian Meeting of OpenFOAM technology users, 2019. Costa, Ricardo; Nóbrega, J. Miguel; Clain, Stéphane; Machado, Gaspar J.. "Development of innovative computational rheology methods". Paper presented in POLÍMEROS 2018 – Ciência, Tecnologia e Inovaçãao, 2018. Costa, Ricardo; Nóbrega, J. Miguel; Clain, Stéphane; Machado, Gaspar J.. "Very high-order accurate finite volume method for advanced computational rheology". Paper presented in POLÍMEROS 2017 – Ciência, Tecnologia e Inovação, 2017. Costa, Ricardo; Clain, Stéphane; Machado, Gaspar J.. "A new second-order finite volume scheme for 2d and 3D convection-diffusion problems". Paper presented in MMNSEA 2013 – Mathematical Modelling and Numerical Simulation for Engineering Applications, 2013. Costa, Ricardo; Clain, Stéphane; Machado, Gaspar J.. "1D convection-diffusion simulations with very high-order accurate finite volume methods". Paper presented in MMNSEA 2012 – Mathematical Modelling and Numerical Simulation for Engineering Applications, 2012.
Journal article	Costa, Ricardo; Clain, Stéphane; Machado, Gaspar J.; Nóbrega, J. Miguel. "Very high-order accurate wall vorticity treatment on curved boundaries with polygonal meshes for incompressible vorticity equations". Computers & Mathematics with Applications 214 (2026): 94-134. https://doi.org/10.1016/j.camwa.2026.04.004. 10.1016/j.camwa.2026.04.004 Clain, Stéphane; Malheiro, M. Teresa; Machado, Gaspar J.; Costa, Ricardo. "The structural method for ordinary differential equations: Towards multi-derivative extreme-order accurate schemes". Journal of Scientific Computing (2026): Under revision Ramôa, Bruno; Costa, Ricardo; Chinesta, Francisco; Nóbrega, J. Miguel. "An open-source framework for modeling the evolution of fiber orientation". OpenFOAM® Journal 5 (2025): 17-37. https://doi.org/10.51560/ofj.v5.131. Published • 10.51560/ofj.v5.131 Santos, Milene; Araújo, Adérito; Barbeiro, Sílvia; Clain, Stéphane; Costa, Ricardo; Machado, Gaspar J.. "Very high-order accurate discontinuous Galerkin method for curved boundaries with polygonal meshes". Journal of Scientific Computing 100 (2024): 66. http://dx.doi.org/10.1007/s10915-024-02613-2. Published • 10.1007/s10915-024-02613-2 Castro, João; Nóbrega, J. Miguel; Costa, Ricardo. "Computational framework to model the selective laser sintering process". Materials 18 8 (2024): 1845. https://doi.org/10.3390/ma17081845. Published • 10.3390/ma17081845 Costa, Ricardo; Clain, Stéphane; Machado, Gaspar J.; Nóbrega, J. Miguel; Beirão da Veiga, Hugo; Crispo, Francesca. "Imposing slip conditions on curved boundaries for 3D incompressible flows with a very high-order accurate finite volume scheme on polygonal meshes". Computer Methods in Applied Mechanics and Engineering 415 (2023): 116274. https://doi.org/10.1016/j.cma.2023.116274. Published • 10.1016/j.cma.2023.116274 Ramôa, Bruno; Costa, Ricardo; Chinesta, Francisco; Nóbrega, J. Miguel. Corresponding author: Ramôa, Bruno. "A semi-automatic approach based on the method of manufactured solutions to assess the convergence order in OpenFOAM". OpenFOAM® Journal 2 (2022): 148-165. http://dx.doi.org/10.51560/ofj.v2.75. Published • 10.51560/ofj.v2.75 Costa, Ricardo; Clain, Stéphane; Machado, Gaspar J.; Nóbrega, J. Miguel. Corresponding author: Costa, Ricardo. "Very high-order accurate finite volume scheme for the steady-state incompressible Navier–Stokes equations with polygonal meshes on arbitrary curved boundaries". Computer Methods in Applied Mechanics and Engineering 396 (2022): 115064. http://dx.doi.org/10.1016/j.cma.2022.115064. Published • 10.1016/j.cma.2022.115064 Costa, Ricardo; Nóbrega, J. Miguel; Clain, Stéphane; Machado, Gaspar J.. "High-order accurate conjugate heat transfer solutions with a finite volume method in anisotropic meshes with application in polymer processing". International Journal for Numerical Methods in Engineering 123 4 (2021): 1146-1185. http://dx.doi.org/10.1002/nme.6892. Published • 10.1002/nme.6892 Costa, Ricardo; Nóbrega, J. Miguel; Clain, Stéphane; Machado, Gaspar J.. "Efficient very high-order accurate polyhedral mesh finite volume scheme for 3D conjugate heat transfer problems in curved domains". Journal of Computational Physics 445 (2021): 110604. http://dx.doi.org/10.1016/j.jcp.2021.110604. Published • 10.1016/j.jcp.2021.110604 Costa, Ricardo; Nóbrega, J. Miguel; Clain, Stéphane; Machado, Gaspar J.. "Very high-order accurate polygonal mesh finite volume scheme for conjugate heat transfer problems with curved interfaces and imperfect contacts". Computer Methods in Applied Mechanics and Engineering 357 112560 (2019): https://doi.org/10.1016/j.cma.2019.07.029. Published • 10.1016/j.cma.2019.07.029 Costa, Ricardo; Nóbrega, J. Miguel; Clain, Stéphane; Machado, Gaspar J.; Loubère, Raphaël. "Very high-order accurate finite volume scheme for the convection-diffusion equation with general boundary conditions on arbitrary curved boundaries". International Journal for Numerical Methods in Engineering 117 2 (2019): 188-220. https://doi.org/10.1002/nme.5953. Published • 10.1002/nme.5953 Costa, Ricardo; Clain, Stéphane; Loubère, Raphaël; Machado, Gaspar J.. "Very high-order accurate finite volume scheme on curved boundaries for the two-dimensional steady-state convection diffusion equation with Dirichlet condition". Applied Mathematical Modelling 54 (2018): 752-767. https://doi.org/10.1016/j.apm.2017.10.016. Published • 10.1016/j.apm.2017.10.016 Costa, Ricardo; Clain, Stéphane; Machado, Gaspar J.. "A sixth-order finite volume scheme for the steady-state incompressible Stokes equations on staggered unstructured meshes". Journal of Computational Physics 349 (2017): 501-527. https://doi.org/10.1016/j.jcp.2017.07.047. Published • 10.1016/j.jcp.2017.07.047 Costa, Ricardo; Clain, Stéphane; Machado, Gaspar J.; Loubère, Raphaël. "A very high-order accurate staggered finite volume scheme for the stationary incompressible Navier-Stokes and Euler equations on unstructured meshes". Journal of Scientific Computing 71 (2017): 1375-1411. https://doi.org/10.1007/s10915-016-0348-9. Published • 10.1007/s10915-016-0348-9 Clain, Stéphane; Reis, Cláudia; Costa, Ricardo; Figueiredo, Jorge; Baptista, M. Ana; Miranda, Jorge M.. "Second-order finite volume with hydrostatic reconstruction for tsunami simulation". Journal of Advances in Modeling Earth Systems 8 4 (2016): 1691-1713. https://doi.org/10.1002/2015MS000603. Published • 10.1002/2015ms000603 Costa, Ricardo; Machado, Gaspar J.; Clain, Stéphane. "A sixth-order finite volume method for the 1D biharmonic operator: Application to intramedullary nail simulation". International Journal of Applied Mathematics and Computer Science 25 3 (2015): 529-537. https://doi.org/10.1515/amcs-2015-0039. Published • 10.1515/amcs-2015-0039 Costa, Ricardo; Clain, Stéphane; Machado, Gaspar J.. "New cell-vertex reconstruction for finite volume scheme : application to the convection-diffusion-reaction equation". Computers & Mathematics with Applications 68 (2014): 1229-1249. https://doi.org/10.1016/j.camwa.2014.08.015. Published • 10.1016/j.camwa.2014.08.015
Preprint	Costa, Ricardo; Clain, Stéphane; Machado, Gaspar J.; Nóbrega, J. Miguel. "Very high-order accurate finite volume scheme for the streamfunction-vorticity formulation of incompressible fluid flows with polygonal meshes on arbitrary curved boundaries". 2025. https://arxiv.org/abs/2506.05081. Clain, Stéphane; Mesquita, M. Teresa; Machado, Gaspar J.; Costa, Ricardo. "The structural method for ordinary differential equations". 2025. https://arxiv.org/abs/2508.02440.
Report	Jasak, Hrvoje; Corak, Matej; Magalhães, Gabriel M.; Uroic, Tessa; Balatinec, Luka; Costa, Ricardo; Nóbrega, J. Miguel. 2024. Final year report on implementation of coupled implicit solution algorithms, exaFOAM – Exploitation of exascale systems for open-source computational fluid dynamics by mainstream industry. Costa, Ricardo; Nóbrega, J. Miguel. 2017. Proper generalized decomposition for convection- diffusion problems with a finite volume method, MOLDPRO – Multi-Scale Approximations for Injection Molding of Plastic Material. Correia, Aldina; Biondo, Mário; Costa, Ricardo. 2016. Control charts for monitoring obstetrician services performance, Problem presented by Hospital de Braga. Araújo, Adérito; Costa, Ricardo; et al.. 2015. Physical model of MDF boards, Problem presented by IKEA at the 109th European Study Group with Industry. Costa, Ricardo; Clain, Stéphane; Machado, Gaspar J.. 2013. Application of the PRO scheme to the bending of a beam, CMAT – Centre of Mathematics.
Thesis / Dissertation	"Advanced computational methods towards high-performance polymer processing simulations". PhD, Universidade do Minho, 2020. http://hdl.handle.net/1822/77102 "Numerical modeling and assessment of the thermal environment in an industrial premise of automotive components". Master, Universidade do Minho, 2015. http://hdl.handle.net/1822/39251

Other

Dataset

Costa, Ricardo; Nóbrega, J. Miguel. exaFOAM industrial benchmark B4 – Viscoelastic complex profile extrusion. DaRUS. 2024.
https://doi.org/10.18419/DARUS-3797
Costa, Ricardo; Nóbrega, J. Miguel. exaFOAM Microbenchmark MB7 – Viscoelastic lid-driven cavity. DaRUS. 2024.
https://doi.org/10.18419/DARUS-3798
Costa, Ricardo; Nóbrega, J. Miguel. exaFOAM Microbenchmark MB19 – Viscoelastic profile extrusion. DaRUS. 2024.
https://doi.org/10.18419/DARUS-3799

Software

Costa, Ricardo. "CFDBench – A curated collection of benchmarking test cases with analytical solutions for the design, testing, and verification of numerical codes in computational fluid dynamics and thermodynamics". GitHub. 2025.
https://github.com/ricardodpcosta/CFDBench
Costa, Ricardo. "ScholarPy – A Python toolkit for collecting, analysing, and visualising research insights from public scholarly CVs with web scraping and data mining". GitHub. 2025.
https://github.com/ricardodpcosta/ScholarPy
Costa, Ricardo. "FVLib – A Fortran library of advanced numerical methods and computer algorithms to solve partial differential equations within the finite volume philosophy". GitHub. 2022.
https://github.com/ricardodpcosta/FVLib
Costa, Ricardo. "mFVLib – A MATLAB library of advanced computational algorithms and numerical methods to solve partial differential equations within the finite volume philosophy". GitHub. 2021.
https://github.com/ricardodpcosta/mFVLib