4 papers
A linear, mass-conserving, multi-time-step compact block-centered finite difference method for incompressible miscible displacement problem in porous media
Xiaoying Wang, Hongxing Rui, Hongfei Fu
In this paper, a two-dimensional incompressible miscible displacement model is considered, and a novel decoupled and linearized high-order finite difference scheme is developed, by…
Robust superconvergence analysis of physics-preserving RMAC scheme for the Stokes and Navier--Stokes equations on non-uniform grids at high Reynolds numbers
Binghong Li, Xiaoli Li, Xu Li +1
The velocity errors of the classical marker and cell (MAC) scheme are dependent on the pressure approximation errors, which is non-pressure-robust and will cause the accuracy of th…
Analysis of a finite element method for linear elasticity with Dirichlet and mixed boundary conditions
Hongpeng Li, Xu Li, Hongxing Rui
In this paper, we investigate a low-order robust numerical method for the linear elasticity problem. The method is based on a Bernardi--Raugel-like -c…
Longer time simulation of the unsteady Navier-Stokes equations based on a modified convective formulation
Xu Li, Hongxing Rui
For the discretization of the convective term in the Navier-Stokes equations (NSEs), the commonly used convective formulation (CONV) does not preserve the energy if the divergence…