New boundary constraints for elliptic systems used in grid generation problems

DOI10.1016/S0021-9991(03)00229-8zbMath1024.65119OpenAlexW1972051841MaRDI QIDQ1405157

Upender K. Kaul

Publication date: 25 August 2003

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0021-9991(03)00229-8

zbMATH Keywords

numerical examplesNeumann boundary conditionsPoisson equationconservation of thermal energyautomated elliptic grid generationboundary clustered gridsdecay parametersnew boundary constraints

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items

Generation of curvilinear coordinates on multiply connected regions with boundary singularities, An improved nearly-orthogonal structured mesh generation system with smoothness control functions, Three-dimensional elliptic grid generation with fully automatic boundary constraints

Cites Work

• Orthogonal mapping
• A comparative study of the parabolized Navier-Stokes code using various grid-generation techniques
• TOMCAT - a code for numerical generation of boundary-fitted curvilinear coordinate systems on fields containing any number of arbitrary two- dimensional bodies
• Automatic numerical generation of body-fitted curvilinear coordinate system for field containing any number of arbitrary two-dimensional bodies
• 2D orthogonal grid generation with boundary point distribution control
• Grid generation techniques in computational fluid dynamics
• Generation of orthogonal and nearly orthogonal coordinates with gridcontrol near boundaries
• Nearly orthogonal two-dimensional grid generation with aspect ratio control