Beatrice Riviere joined Rice University in 2008. She is the director of the Computational Modeling of Porous Media (COMP-M) group, which develops innovative and efficient numerical algorithms for porous media at the pore scale and at the Darcy scale. Porous media applications include energy, biomedicine and environment. COMP-M is at the forefront of research in numerical analysis, scientific computing, high-performance computing and scientific machine learning.

Dr. Riviere has expertise in the development and analysis of numerical methods applied to problems in porous media and in fluid mechanics. She has published more than one hundred and fifty scientific publications in numerical analysis and scientific computing. She has co-authored one book on discontinuous Galerkin methods and one book on the numerical solution of the Navier-Stokes equations, both books were published by the Society for Industrial and Applied Mathematics (SIAM). 

Dr. Riviere is an active member of SIAM and is currently serving as Chair of the SIAM Board of Trustees (2025-2026). She was elected President of the SIAM TX-LA Section from 2020 to 2022 and Chair of the SIAM Activity Group on Geosciences from 2019 to 2020. She has served on the editorial boards of SIAM Journal on Scientific Computing, SIAM Journal on Numerical Analysis, Results in Applied Mathematics, Archives of Computational Methods in Engineering and Advances in Water Resources. She graduated more than twenty Ph.D. students who joined the academic world, the private sector and the national laboratories. In 2024, she was awarded the Rice Presidential Mentoring Award.