Record Details

High resolution finite volume computations on unstructured grids using solution dependent weighted least squares gradients

DSpace at IIT Bombay

View Archive Info
 
 
Field Value
 
Title High resolution finite volume computations on unstructured grids using solution dependent weighted least squares gradients
 
Creator MANDAL, JC
RAO, SP
 
Subject ESSENTIALLY NONOSCILLATORY SCHEMES
CONSERVATION-LAWS
WENO SCHEMES
EQUATIONS
High resolution scheme
Finite volume method
Quadratic reconstruction
Unstructured meshes
Solution dependent weights
Euler equations
Navier-Stokes equations
 
Description An improved high resolution finite volume method based on linear and quadratic variable reconstructions using solution dependent weighted least squares (SDWLS) gradients has been presented here. An extended stencil consisting of vertex-based neighbours of a cell is used in the higher order reconstructions for inviscid flux computations. A QR algorithm with Householder transformation is used to solve the weighted least squares problem. In case of Navier-Stokes equations, viscous fluxes are discretized in a central differencing manner based on the Coirier's diamond path. A few inviscid and viscous test cases are solved in order to demonstrate the efficacy of the present method. Progressive improvements in solution accuracy are observed with the increase in the order of variable reconstructions. In most cases, results of quadratic reconstruction show significant improvements over that of linear reconstruction. (C) 2010 Elsevier Ltd. All rights reserved.
 
Publisher PERGAMON-ELSEVIER SCIENCE LTD
 
Date 2012-06-26T06:31:20Z
2012-06-26T06:31:20Z
2011
 
Type Article
 
Identifier COMPUTERS & FLUIDS,44(1)23-31
0045-7930
http://dx.doi.org/10.1016/j.compfluid.2010.11.021
http://dspace.library.iitb.ac.in/jspui/handle/100/14043
 
Language English