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Chen Liu
Department of Computational and Applied Mathematics
 

Publications

Journal publications

  1. C. Liu, F. Frank, C. Thiele, F. O. Alpak, S. Berg, W. Chapman, and B. Rivière (2019). “An efficient numerical algorithm for solving viscosity contrast Cahn–Hilliard–Navier–Stokes system in porous media.” Submitted.
  2. C. Liu and B. Rivière (2018). “Numerical analysis of a discontinuous Galerkin method for Cahn–Hilliard–Navier–Stokes equations.” arXiv preprint arXiv:1807.02725. Submitted.
  3. C. Liu, F. Frank, F. O. Alpak, and B. Rivière (2019). “An interior penalty discontinuous Galerkin approach for 3D incompressible Navier–Stokes equation for permeability estimation of porous media.” Journal of Computational Physics. DOI: 10.1016/j.jcp.2019.06.052.
  4. C. Liu, F. Frank, and B. Rivière (2019). “Numerical error analysis for non-symmetric interior penalty discontinuous Galerkin method of Cahn–Hilliard equation.” Numerical Methods for Partial Differential Equations, 35(4), pp. 1509–1537. DOI: 10.1002/num.22362.
  5. F. Frank, C. Liu, A. Scanziani, F. O. Alpak, and B. Rivière (2018). “An energy-based equilibrium contact angle boundary condition on jagged surfaces for phase-field methods.” Journal of Colloid and Interface Science, 523, pp. 282–291. DOI: 10.1016/j.jcis.2018.02.075.
  6. F. Frank, C. Liu, F. O. Alpak, S. Berg, and B. Rivière (2018). “Direct numerical simulation of flow on pore-scale images using the phase-field method.” SPE Journal, 23(5), pp. 1833–1850. DOI: 10.2118/182607-PA.
  7. F. Frank, C. Liu, F. O. Alpak, and B. Rivière (2018). “A finite volume/discontinuous Galerkin method for the advective Cahn–Hilliard equation with degenerate mobility on porous domains stemming from micro-CT imaging.” Computational Geosciences, 22(2), pp. 543–563. DOI: 10.1007/s10596-017-9709-1.

Conference proceedings

  1. F. Frank, C. Liu, F. O. Alpak, M. Araya-Polo, and B. Rivière (2017). “A discontinuous Galerkin finite element framework for the direct numerical simulation of flow on high-resolution pore-scale images.” SPE Reservoir Symposium. SPE-182606-MS. Society for Petroleum Engineers. DOI: 10.2118/182607-MS.

Theses

  • C. Liu (2019). “Discontinuous Galerkin Methods for Pore-scale Multiphase Flow: Theoretical Analysis and Simulation.” Ph.D. thesis. Rice University.
  • C. Liu (2016). “Pore-scale simulation of fluid flow using discontinuous Galerkin methods.” MA thesis. Rice University.
  • C. Liu (2014). “Coarse-grained model for studying DNA mediated allosteric phenomenon.” MA thesis. Peking University.