Review of the high-order TENO schemes for compressible gas dynamics and turbulence
L Fu - Archives of Computational Methods in Engineering, 2023 - Springer
For compressible flow simulations involving both turbulence and shockwaves, the
competing requirements render it challenging to develop high-order numerical methods …
competing requirements render it challenging to develop high-order numerical methods …
Physical, numerical, and computational challenges of modeling neutrino transport in core-collapse supernovae
The proposal that core collapse supernovae are neutrino driven is still the subject of active
investigation more than 50 years after the seminal paper by Colgate and White. The modern …
investigation more than 50 years after the seminal paper by Colgate and White. The modern …
A posteriori subcell limiting of the discontinuous Galerkin finite element method for hyperbolic conservation laws
M Dumbser, O Zanotti, R Loubère, S Diot - Journal of Computational …, 2014 - Elsevier
The purpose of this work is to propose a novel a posteriori finite volume subcell limiter
technique for the Discontinuous Galerkin finite element method for nonlinear systems of …
technique for the Discontinuous Galerkin finite element method for nonlinear systems of …
Entropy stable high order discontinuous Galerkin methods with suitable quadrature rules for hyperbolic conservation laws
It is well known that semi-discrete high order discontinuous Galerkin (DG) methods satisfy
cell entropy inequalities for the square entropy for both scalar conservation laws (Jiang and …
cell entropy inequalities for the square entropy for both scalar conservation laws (Jiang and …
Essentially non-oscillatory and weighted essentially non-oscillatory schemes
CW Shu - Acta Numerica, 2020 - cambridge.org
Essentially non-oscillatory (ENO) and weighted ENO (WENO) schemes were designed for
solving hyperbolic and convection–diffusion equations with possibly discontinuous solutions …
solving hyperbolic and convection–diffusion equations with possibly discontinuous solutions …
[图书][B] Strong stability preserving Runge-Kutta and multistep time discretizations
Strong Stability Preserving Explicit Runge—Kutta Methods | Strong Stability Preserving
Runge-Kutta and Multistep Time Discretizations World Scientific Search This Book Anywhere …
Runge-Kutta and Multistep Time Discretizations World Scientific Search This Book Anywhere …
High-order entropy stable finite difference schemes for nonlinear conservation laws: Finite domains
TC Fisher, MH Carpenter - Journal of Computational Physics, 2013 - Elsevier
Nonlinear entropy stability is used to derive provably stable high-order finite difference
operators including boundary closure stencils, for the compressible Navier–Stokes …
operators including boundary closure stencils, for the compressible Navier–Stokes …
Maximum-principle-satisfying and positivity-preserving high-order schemes for conservation laws: survey and new developments
In an earlier study (Zhang & Shu 2010 b J. Comput. Phys. 229, 3091–3120 (doi: 10.1016/j.
jcp. 2009.12. 030)), genuinely high-order accurate finite volume and discontinuous Galerkin …
jcp. 2009.12. 030)), genuinely high-order accurate finite volume and discontinuous Galerkin …
Positivity-preserving high order well-balanced discontinuous Galerkin methods for the shallow water equations
Shallow water equations with a non-flat bottom topography have been widely used to model
flows in rivers and coastal areas. An important difficulty arising in these simulations is the …
flows in rivers and coastal areas. An important difficulty arising in these simulations is the …
An artificial neural network as a troubled-cell indicator
D Ray, JS Hesthaven - Journal of computational physics, 2018 - Elsevier
High-resolution schemes for conservation laws need to suitably limit the numerical solution
near discontinuities, in order to avoid Gibbs oscillations. The solution quality and the …
near discontinuities, in order to avoid Gibbs oscillations. The solution quality and the …