A semi-implicit numerical scheme for reacting flow. II: Stiff, operator-split formulation
type: Item
instance of: scholarly article
title: A semi-implicit numerical scheme for reacting flow. II: Stiff, operator-split formulation
zbMATH Open document ID: 0958.76061
author: Omar M. Knio
author: Habib N. Najm
author: Peter S. Wyckoff
published in: Journal of Computational Physics
publication date: 2000-02-15T00:00:00Z
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 76M22
Mathematics Subject Classification ID: 76V05
Mathematics Subject Classification ID: 92E20
Mathematics Subject Classification ID: 80A32
zbMATH DE Number: 1384995
zbMATH Keywords: \(C_1C_2\) methane-air mechanism
zbMATH Keywords: stiff operator-split projection scheme
zbMATH Keywords: unsteady two-dimensional reaction flows
zbMATH Keywords: compressible conservation equations
zbMATH Keywords: ideal gas mixture
zbMATH Keywords: zero-Mach-number limit
zbMATH Keywords: second-order centered differences
zbMATH Keywords: stiff predictor-corrector approach
zbMATH Keywords: nonlinear reaction-diffusion equation
describes a project that uses: CHEMSODE
describes a project that uses: VODE
describes a project that uses: CHEMKIN
describes a project that uses: ODEPACK
describes a project that uses: RODAS
describes a project that uses: GEAR
describes a project that uses: PREMIX
MaRDI profile type: Publication
full work available at URL: jcph.1999.6322
OpenAlex ID: W53834710
cites work: Q3746811
cites work: Q4714145
cites work: A semi-implicit numerical scheme for reacting flow. I: Stiff chemistry
cites work: Integration of Stiff Equations
cites work: The automatic integration of ordinary differential equations
cites work: VODE: A Variable-Coefficient ODE Solver
cites work: Analysis of parallel diagonally implicit iteration of Runge-Kutta methods
cites work: A parallel DIRK method for stiff initial-value problems
cites work: Additive semi-implicit Runge-Kutta methods for computing high-speed nonequilibrium reactive flows
cites work: An implicit-explicit hybrid solver for a system of stiff kinetic equations
cites work: An evaluation of explicit pseudo-steady-state approximation schemes for stiff ODE systems from chemical kinetics
cites work: Comparison and analysis of some numerical schemes for stiff complex chemistry problems
cites work: Gauss–Seidel Iteration for Stiff ODES from Chemical Kinetics
cites work: CHEMSODE: A stiff ODE solver for the equations of chemical kinetics
cites work: On the Partial Difference Equations of Mathematical Physics
cites work: Q3686255
cites work: Q4040896
cites work: Stability Restrictions on Second Order, Three Level Finite Difference Schemes for Parabolic Equations
cites work: Implicit-Explicit Methods for Time-Dependent Partial Differential Equations
cites work: A note on splitting errors for advection-reaction equations
cites work: An implicit-explicit approach for atmospheric transport-chemistry problems
cites work: A pseudo-non-time-splitting method in air quality modeling
cites work: A Second-Order Rosenbrock Method Applied to Photochemical Dispersion Problems
cites work: On the stability of implicit-explicit linear multistep methods
cites work: Implicit-explicit Runge-Kutta methods for computing atmospheric reactive flows
cites work: Explicit methods for stiff ODEs from atmospheric chemistry
cites work: An operator splitting algorithm for coupled one-dimensional advection-diffusion-reaction equations
cites work: Solving Linear Partial Differential Equations by Exponential Splitting
cites work: Numerical instability due to varying time steps in explicit wave propagation and mechanics calculations
cites work: A study of numerical methods for hyperbolic conservation laws with stiff source terms
cites work: Analysis of operator splitting for advection-diffusion-reaction problems from air pollution modelling
cites work: On the Construction and Comparison of Difference Schemes
cites work: Third order difference methods for hyperbolic equations
cites work: Q3873786
cites work: A numerical method for solving incompressible viscous flow problems
cites work: A second-order projection method for variable-density flows
cites work: A conservative adaptive projection method for the variable density incompressible Navier-Stokes equations
cites work: Application of a fractional-step method to incompressible Navier-Stokes equations
cites work: Explicit Runge-Kutta methods for parabolic partial differential equations
DOI: 10.1006/JCPH.1999.6322
description: scientific article; zbMATH DE number 1384995