Browse Prior Art Database

Method and System for Mesh Size Control

IP.com Disclosure Number: IPCOM000118030D
Original Publication Date: 1996-Aug-01
Included in the Prior Art Database: 2005-Mar-31
Document File: 2 page(s) / 30K

Publishing Venue

IBM

Related People

Itoh, T: AUTHOR [+3]

Abstract

Disclosed is a method and system for generating a smooth node spacing function which defines the element size of two-dimensional mesh. The node spacing function is generated by minimizing the distortion energy of a thin plate bending model. The node spacing function generated by this method and system generates a well-shaped/graded mesh.

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Method and System for Mesh Size Control

      Disclosed is a method and system for generating a smooth node
spacing function which defines the element size of two-dimensional
mesh.  The node spacing function is generated by minimizing the
distortion energy of a thin plate bending model.  The node spacing
function generated by this method and system generates a
well-shaped/graded mesh.

The method and system consists of the following three steps:
  1.  Generate a thin plate model over a given domain and
       subdivide the plate model into a set of triangle or
       quadrilateral elements.
  2.  Calculate the displacements of the mesh nodes adjacent
       to the points where element sizes are given.
  3.  Calculate the displacements of the other mesh nodes by
       minimizing the distortion energy of the plate model.  The
       displacement of the plate model defines the node spacing
       function.

The detail of this method and system is described in (*).
  Reference
  (*) A. Yamada, K. Shimada, T. Itoh, "Element Size Control for
       Bubble Mesh Generation Method", Information Processing
       Society of Japan SIG Notes, 96-CG-80, pp. 1-6, 1996/5/14.