A robust higher order compact scheme for solving general second order partial differential equation with derivative source terms on nonuniform curvilinear meshes
type: Item
instance of: scholarly article
title: A robust higher order compact scheme for solving general second order partial differential equation with derivative source terms on nonuniform curvilinear meshes
zbMATH Open document ID: 1398.65266
author: Swapan K. Pandit
author: A. Chattopadhyay
publication date: 2018-08-23T00:00:00Z
Mathematics Subject Classification ID: 65N06
Mathematics Subject Classification ID: 35G15
zbMATH DE Number: 6923876
zbMATH Keywords: compact scheme
zbMATH Keywords: convection-diffusion equation
zbMATH Keywords: N-S equations
zbMATH Keywords: nonorthogonal curvilinear grid
zbMATH Keywords: distorted grid
MaRDI profile type: Publication
full work available at URL: j.camwa.2017.06.031
OpenAlex ID: W2735812088
Wikidata QID: Q115359513
cites work: Highly accurate compact implicit methods and boundary conditions
cites work: Higher order accurate difference solutions of fluid mechanics problems by a compact differencing technique
cites work: Compact finite difference schemes with spectral-like resolution
cites work: Q3284130
cites work: High-order compact finite-difference methods on general overset grids
cites work: Analysis of central and upwind compact schemes.
cites work: On the use of higher-order finite-difference schemes on curvilinear and deforming meshes
cites work: A new family of (5,5)CC-4OC schemes applicable for unsteady Navier-Stokes equations
cites work: Fourth order compact schemes for variable coefficient parabolic problems with mixed derivatives
cites work: High order ADI method for solving unsteady convection-diffusion problems
cites work: A high-order Padé ADI method for unsteady convection-diffusion equations
cites work: A fourth-order compact ADI method for solving two-dimensional unsteady convection--diffusion problems
cites work: A rational high-order compact ADI method for unsteady convection-diffusion equations
cites work: Iterative methods and high-order difference schemes for 2D elliptic problems with mixed derivative
cites work: High-order difference schemes for 2D elliptic and parabolic problems with mixed derivatives
cites work: A single cell high order scheme for the convection-diffusion equation with variable coefficients
cites work: High accuracy solutions of incompressible Navier-Stokes equations
cites work: A class of higher order compact schemes for the unsteady two-dimensional convection-diffusion equation with variable convection coefficients
cites work: A compact fourth‐order finite difference scheme for the steady incompressible Navier‐Stokes equations
cites work: Higher‐order difference approximations of the Navier‐Stokes equations
cites work: Differential-equation-based representation of truncation errors for accurate numerical simulation
cites work: A transformation-free HOC scheme for steady convection–diffusion on non-uniform grids
cites work: A study of a numerical solution of the steady two dimensions Navier--Stokes equations in a constricted channel problem by a compact fourth order method.
cites work: Formulation and experiments with high‐order compact schemes for nonuniform grids
cites work: High order compact computation and nonuniform grids for streamfunction vorticity equations
cites work: Multigrid method based on the transformation-free HOC scheme on nonuniform grids for 2D convection diffusion problems
cites work: A transient higher order compact scheme for incompressible viscous flows on geometries beyond rectangular
cites work: A fourth-order accurate compact scheme for the solution of steady Navier-Stokes equations on non-uniform grids
cites work: Q4841246
cites work: Parallel iterative methods for sparse linear systems
cites work: Simulation of cavity flow by the lattice Boltzmann method
cites work: Q4513941
cites work: Steady viscous flow in a trapezoidal cavity
cites work: High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
cites work: Benchmark spectral results on the lid-driven cavity flow
cites work: An efficient scheme for solving steady incompressible Navier-Stokes equations
cites work: A new paradigm for solving Navier-Stokes equations: streamfunction-velocity formulation
cites work: On the use of compact streamfunction-velocity formulation of steady Navier-Stokes equations on geometries beyond rectangular
cites work: Effect of sinusoidal wavy bottom surface on mixed convection heat transfer in a lid-driven cavity
DOI: 10.1016/J.CAMWA.2017.06.031
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 6923876