The Embedded Curved Boundary Method for Orthogonal Simulation Meshes

✍ Scribed by Dennis W. Hewett

• Book ID: 102973692
• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 941 KB
• Volume: 138
• Category: Article
• ISSN: 0021-9991
• DOI: 10.1006/jcph.1997.5835

✦ Synopsis

A method for incorporating piecewise-linear approximations to curved boundaries is developed for codes using orthogonal meshes. The resulting method retains much of the fidelity of adaptive triangle meshes in 2D while retaining essentially all of the speed of traditional methods relying on banded matrix solutions. We find this technique useful for situations lying between the crude but fast stairstep approximation and the elegant but slower adaptive mesh techniques. This method provides a practical approach to problems such as space charge emission while retaining the simplicity and run time advantage of orthogonal-mesh-based codes. Examples from space-chargelimited flow between curved electrodes are given.