Implementation of semi‐discrete, non‐staggered central schemes in a colocated, polyhedral, finite volume framework, for high‐speed viscous flows
CJ Greenshields, HG Weller… - … journal for numerical …, 2010 - Wiley Online Library
We describe the implementation of a computational fluid dynamics solver for the simulation
of high‐speed flows. It comprises a finite volume (FV) discretization using semi‐discrete, non …
of high‐speed flows. It comprises a finite volume (FV) discretization using semi‐discrete, non …
A new type of multi-resolution WENO schemes with increasingly higher order of accuracy
J Zhu, CW Shu - Journal of Computational Physics, 2018 - Elsevier
In this paper, a new type of high-order finite difference and finite volume multi-resolution
weighted essentially non-oscillatory (WENO) schemes is presented for solving hyperbolic …
weighted essentially non-oscillatory (WENO) schemes is presented for solving hyperbolic …
An unsplit staggered mesh scheme for multidimensional magnetohydrodynamics
D Lee, AE Deane - Journal of Computational Physics, 2009 - Elsevier
We introduce an unsplit staggered mesh scheme (USM) for multidimensional
magnetohydrodynamics (MHD) that uses a constrained transport (CT) method with high …
magnetohydrodynamics (MHD) that uses a constrained transport (CT) method with high …
Central discontinuous Galerkin methods for ideal MHD equations with the exactly divergence-free magnetic field
In this paper, central discontinuous Galerkin methods are developed for solving ideal
magnetohydrodynamic (MHD) equations. The methods are based on the original central …
magnetohydrodynamic (MHD) equations. The methods are based on the original central …
Conservative cascade of kinetic energy in compressible turbulence
The physical nature of compressible turbulence is of fundamental importance in a variety of
astrophysical settings. We investigate the question:" At what scales does the mechanism of …
astrophysical settings. We investigate the question:" At what scales does the mechanism of …
Arbitrary order exactly divergence-free central discontinuous Galerkin methods for ideal MHD equations
Ideal magnetohydrodynamic (MHD) equations consist of a set of nonlinear hyperbolic
conservation laws, with a divergence-free constraint on the magnetic field. Neglecting this …
conservation laws, with a divergence-free constraint on the magnetic field. Neglecting this …
On the amplification of magnetic field by a supernova blast shock wave in a turbulent medium
We have performed extensive two-dimensional magnetohydrodynamic simulations to study
the amplification of magnetic fields when a supernova blast wave propagates into a …
the amplification of magnetic fields when a supernova blast wave propagates into a …
Hierarchical reconstruction for discontinuous Galerkin methods on unstructured grids with a WENO-type linear reconstruction and partial neighboring cells
The hierarchical reconstruction (HR)[Y.-J. Liu, C.-W. Shu, E. Tadmor, M.-P. Zhang, Central
discontinuous Galerkin methods on overlapping cells with a non-oscillatory hierarchical …
discontinuous Galerkin methods on overlapping cells with a non-oscillatory hierarchical …
Efficient implicit non-linear LU-SGS approach for viscous flow computation using high-order spectral difference method
Y Sun, ZJ Wang, Y Liu - 18th AIAA Computational Fluid Dynamics …, 2007 - arc.aiaa.org
An implicit non-linear lower-upper symmetric Gauss-Seidel (LU-SGS) solution algorithm has
been developed for a high-order spectral difference Navier-Stokes solver on unstructured …
been developed for a high-order spectral difference Navier-Stokes solver on unstructured …
Multiscale simulations for multi-continuum Richards equations
In this paper, we study a multiscale method for simulating a dual-continuum unsaturated flow
problem within complex heterogeneous fractured porous media. Mathematically, each of the …
problem within complex heterogeneous fractured porous media. Mathematically, each of the …