Global coefficient adjustment method for Neumann condition in explicit Chebyshev collocation method and its application to compressible Navier- Stokes equations
type: Item
instance of: scholarly article
title: Global coefficient adjustment method for Neumann condition in explicit Chebyshev collocation method and its application to compressible Navier- Stokes equations
zbMATH Open document ID: 0776.76076
author: Y. Nakamura
author: Michiru Yasuhara
author: Jianping Wang
published in: Journal of Computational Physics
publication date: 1993-11-28T00:00:00Z
review text: The paper consists of two parts. In part 1, a new technique of treating Neumann boundary conditions with an explicit Chebyshev collocation method is developed. Any Neumann boundary condition can be satisfied by adjusting all the Chebyshev coefficients of a solution, which results in a small influence on the solution and its derivatives except at the boundary. Comparisons between the new technique and several traditional ones are made for a one-dimensional advection-diffusion problem, which confirms the superiority of the new technique. The spectral accuracy of the new technique is also demonstrated. In part 2, a Chebyshev collocation code for the compressible Navier-Stokes equations is developed to solve the high-speed flows around a sphere.
Mathematics Subject Classification ID: 76M25
Mathematics Subject Classification ID: 76N10
Mathematics Subject Classification ID: 65M70
zbMATH DE Number: 404858
zbMATH Keywords: boundary layer
zbMATH Keywords: advection-diffusion problem
zbMATH Keywords: high-speed flows
zbMATH Keywords: sphere
MaRDI profile type: Publication
full work available at URL: jcph.1993.1133
OpenAlex ID: W2012150179
DOI: 10.1006/JCPH.1993.1133
description: scientific article; zbMATH DE number 404858