Numerical methods for chemically reacting fluid flow computation under low-Mach number approximation
type: Item
instance of: scholarly article
title: Numerical methods for chemically reacting fluid flow computation under low-Mach number approximation
zbMATH Open document ID: 1146.76043
author: Toshiyuki Arima
published in: Tokyo Journal of Mathematics
publication date: 2006-12-12T00:00:00Z
review text: A mathematical model of environmental fluid is presented to describe fluid flow motions with large density variations. Moreover the associated numerical methods are discussed. The model of environmental fluid is formulated as an unsteady low-Mach number flow based on the compressible Navier-Stokes equations. For low-Mach number flows, the acoustic effects are assumed to be weak relative to the advection effects. Under this assumption, detailed acoustic effects can be removed from governing equations. The low-Mach number formulation thus enables numerical flow analysis with a projection methodology that uses high-order accurate upwind difference of the convection terms with a time step restricted solely by an advection Courant-Friedrichs-Lewy (CFL) condition. The algorithm presented here is based on an iterative implicit time evolution of second order accuracy and a high-accurate spatial discretization with TVD properties for unsteady low-Mach number flows. It is seen from the results on the verification for test cases of flows with a wide range of density variations that our numerical method is validated.
Mathematics Subject Classification ID: 76M25
Mathematics Subject Classification ID: 76N15
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 76V05
Mathematics Subject Classification ID: 80A32
zbMATH DE Number: 5079807
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.3836/tjm/1264170250
OpenAlex ID: W4233559066
cites work: Q3735004
cites work: High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
cites work: On a Class of High Resolution Total-Variation-Stable Finite-Difference Schemes
cites work: Semi-implicit extension of a Godunov-type scheme based on low Mach number asymptotics. I: One-dimensional flow
cites work: Q3853342
cites work: Towards the ultimate conservative difference scheme. IV: A new approach to numerical convection
cites work: Compressible fluid flow and systems of conservation laws in several space variables
cites work: A semi-implicit numerical scheme for reacting flow. I: Stiff chemistry
cites work: Numerical study of the turbulent flow past an airfoil with trailing edge separation
cites work: Natural convection in a square cavity: A comparison exercise
DOI: 10.3836/TJM/1166661873
DOI: 10.3836/TJM/1264170250
description: scientific article; zbMATH DE number 5079807