Explicit and implicit multidimensional compact high-resolution shock-capturing methods: Formulation
type: Item
instance of: scholarly article
title: Explicit and implicit multidimensional compact high-resolution shock-capturing methods: Formulation
zbMATH Open document ID: 0889.76054
author: H. C. Yee
published in: Journal of Computational Physics
publication date: 1998-06-18T00:00:00Z
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 76N10
Mathematics Subject Classification ID: 76L05
zbMATH DE Number: 992127
zbMATH Keywords: TVB schemes
zbMATH Keywords: ENO schemes
zbMATH Keywords: semi-discrete case
zbMATH Keywords: total variation diminishing
zbMATH Keywords: total variation diminishing in the mean
zbMATH Keywords: scalar hyperbolic conservation laws
MaRDI profile type: Publication
full work available at URL: jcph.1996.5608
OpenAlex ID: W2084588653
cites work: The stability of numerical boundary treatments for compact high-order finite-difference schemes
cites work: Compact finite difference schemes with spectral-like resolution
cites work: A high-resolution hybrid compact-ENO scheme for shock-turbulence interaction problems
cites work: Compact high-order schemes for the Euler equations
cites work: Nonlinearly Stable Compact Schemes for Shock Calculations
cites work: The Artificial Compression Method for Computation of Shocks and Contact Discontinuities: III. Self-Adjusting Hybrid Schemes
cites work: Q4343487
cites work: Higher Order Compact Implicit Schemes for the Wave Equation
cites work: Higher order accurate difference solutions of fluid mechanics problems by a compact differencing technique
cites work: Solution of the multidimensional compressible Navier-Stokes equations by a generalized implicit method
cites work: A study of numerical methods for hyperbolic conservation laws with stiff source terms
cites work: Q1181869
cites work: Numerical Wave Propagation in an Advection Equation with a Nonlinear Source Term
cites work: GLOBAL ASYMPTOTIC BEHAVIOR OF ITERATIVE IMPLICIT SCHEMES
cites work: Q4358375
cites work: Linearized form of implicit TVD schemes for the multidimensional Euler and Navier-Stokes equations
cites work: Flux vector splitting of the inviscid gasdynamic equations with application to finite-difference methods
cites work: The automatic integration of ordinary differential equations
cites work: Q5674335
cites work: Review of preconditioning methods for fluid dynamics
cites work: Q3876948
cites work: An Implicit Factored Scheme for the Compressible Navier-Stokes Equations
cites work: On a Class of High Resolution Total-Variation-Stable Finite-Difference Schemes
cites work: High-resolution shock-capturing schemes for inviscid and viscous hypersonic flows
cites work: Studies on Error Propagation for Certain Nonlinear Approximations to Hyperbolic Equations: Discontinuities in Derivatives
cites work: Q4331685
cites work: The effects of numerical viscosities. I: Slowly moving shocks
cites work: Implicit total variation diminishing (TVD) schemes for steady-state calculations
cites work: Total-Variation-Diminishing Time Discretizations
cites work: Q3747653
cites work: Uniformly High-Order Accurate Nonoscillatory Schemes. I
cites work: Multidimensional Upwinding
DOI: 10.1006/JCPH.1996.5608
Recommended article: A class of high resolution shock capturing schemes for hyperbolic conservation laws
Recommended article: A high-resolution scheme for compressible multicomponent flows with shock waves
Recommended article: Q4848965
Recommended article: On Construction of Combined Shock-Capturing Finite-Difference Schemes of High Accuracy
Recommended article: Shock capturing and high-order methods for hyperbolic conservation laws
Recommended article: An efficient shock-capturing algorithm for compressible multicomponent problems
Recommended article: Q4848966
Recommended article: Shock-capturing exponential multigrid methods for steady compressible flows
Recommended article: A simple, robust and efficient high-order accurate shock-capturing scheme for compressible flows: towards minimalism
Recommended article: Cost-effective Multiresolution schemes for Shock Computations
description: scientific article; zbMATH DE number 992127