| A finite volume/discontinuous Galerkin method for the advective Cahn-Hilliard equation with degenerate mobility on porous domains stemming from micro-CT imaging F Frank, C Liu, FO Alpak, B Riviere Computational Geosciences 22 (2), 543-563, 2018 | 49 | 2018 |
| Direct numerical simulation of flow on pore-scale images using the phase-field method F Frank, C Liu, FO Alpak, S Berg, B Riviere SPE Journal 23 (05), 1,833-1,850, 2018 | 41 | 2018 |
| An efficient numerical algorithm for solving viscosity contrast Cahn–Hilliard–Navier–Stokes system in porous media C Liu, F Frank, C Thiele, FO Alpak, S Berg, W Chapman, B Riviere Journal of Computational Physics 400, 108948, 2020 | 32 | 2020 |
| An energy-based equilibrium contact angle boundary condition on jagged surfaces for phase-field methods F Frank, C Liu, A Scanziani, FO Alpak, B Riviere Journal of colloid and interface science 523, 282-291, 2018 | 31 | 2018 |
| Numerical error analysis for nonsymmetric interior penalty discontinuous Galerkin method of Cahn–Hilliard equation C Liu, F Frank, BM Rivière Numerical Methods for Partial Differential Equations 35 (4), 1509-1537, 2019 | 29 | 2019 |
| A priori Error Analysis of a Discontinuous Galerkin Method for Cahn–Hilliard–Navier–Stokes Equations C Liu, B Riviere CSIAM Transaction on Applied Mathematics 1, 104-141, 2020 | 24* | 2020 |
| A discontinuous Galerkin pressure correction scheme for the incompressible Navier–Stokes equations: Stability and convergence R Masri, C Liu, B Riviere Mathematics of Computation 91 (336), 1625-1654, 2022 | 22 | 2022 |
| An interior penalty discontinuous Galerkin approach for 3D incompressible Navier–Stokes equation for permeability estimation of porous media C Liu, F Frank, FO Alpak, B Rivière Journal of Computational Physics 396, 669-686, 2019 | 18 | 2019 |
| A pressure-correction and bound-preserving discretization of the phase-field method for variable density two-phase flows C Liu, D Ray, C Thiele, L Lin, B Riviere Journal of Computational Physics 449, 110769, 2022 | 15 | 2022 |
| A simple and efficient convex optimization based bound-preserving high order accurate limiter for Cahn–Hilliard–Navier–Stokes system C Liu, B Riviere, J Shen, X Zhang SIAM Journal on Scientific Computing 46 (3), A1923-A1948, 2024 | 12 | 2024 |
| Convergence of a decoupled splitting scheme for the Cahn-Hilliard-Navier-Stokes system C Liu, R Masri, B Riviere SIAM Journal on Numerical Analysis 61 (6), 2651-2694, 2023 | 12 | 2023 |
| Structure Preserving Schemes for Fokker–Planck Equations of Irreversible Processes C Liu, Y Gao, X Zhang Journal of Scientific Computing 98 (1), 4, 2024 | 9 | 2024 |
| A positivity-preserving implicit-explicit scheme with high order polynomial basis for compressible Navier–Stokes equations C Liu, X Zhang Journal of Computational Physics 493, 112496, 2023 | 8 | 2023 |
| Improved a priori error estimates for a discontinuous Galerkin pressure correction scheme for the Navier-Stokes equations R Masri, C Liu, B Riviere Numerical Methods for Partial Differential Equations 39 (4), 3108-3144, 2023 | 7 | 2023 |
| A discontinuous Galerkin method for a diffuse-interface model of immiscible two-phase flows with soluble surfactant D Ray, C Liu, B Riviere Computational Geosciences 25 (5), 1775-1792, 2021 | 7 | 2021 |
| A discontinuous Galerkin finite element framework for the direct numerical simulation of flow on high-resolution pore-scale images F Frank, C Liu, FO Alpak, M Araya-Polo, B Riviere SPE Reservoir Simulation Conference, 2017 | 5 | 2017 |
| An optimization based limiter for enforcing positivity in a semi-implicit discontinuous Galerkin scheme for compressible Navier-Stokes equations C Liu, GT Buzzard, X Zhang Journal of Computational Physics 519, 113440, 2024 | 3 | 2024 |
| An optimization-based positivity-preserving limiter in semi-implicit discontinuous Galerkin schemes solving Fokker-Planck equations C Liu, J Hu, WT Taitano, X Zhang arXiv preprint arXiv:2410.19143, 2024 | 1 | 2024 |
| A bound-preserving Runge--Kutta discontinuous Galerkin method with compact stencils for hyperbolic conservation laws C Liu, Z Sun, X Zhang arXiv preprint arXiv:2412.16002, 2024 | | 2024 |
| Discontinuous Galerkin Methods for Pore-scale Multiphase Flow: Theoretical Analysis and Simulation C Liu Rice University, 2019 | | 2019 |
Beatrice RiviereNoah G. Harding Chair and Prof. of Computational Applied Mathematics and Operations Research at RiceVerified email at rice.edu
