Article View: sci.math.num-analysis
Article #750nonlinear wave equation on a sphere
From: ramesh
Date: Wed, 11 Nov 1992 17:43
Date: Wed, 11 Nov 1992 17:43
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1094 bytes
I was wondering about how one numerically solves a nonlinear pde (like the wave equation, or a nonlinear Helmholz equation) on a closed object like a sphere. My previous experience has been that a spectral method (like ORSZAG) is required. This is eeasy to do using Fourier series and the appropriate trignoetric identities. However, on a sphere, sphereical harmonics have to be used, for which there aren't the same type of identities. Does anyone know how to set up a finite difference scheme for a closed object like a sphere? Thanks, Ramesh Srinivasan ramesh@mv3600.bmen.tulane.edu
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Newsgroups: sci.math.num-analysis Path: arc1-ca.pugleaf.net!sparky!uunet!think.com!ames!tulane!RAMESH@MV3600.BMEN.TULANE.EDU From: ramesh@MV3600.BMEN.TULANE.EDU Subject: nonlinear wave equation on a sphere Message-ID: <0096373F.07D40080@MV3600.BMEN.TULANE.EDU> Sender: news@cs.tulane.edu Reply-To: ramesh@MV3600.BMEN.TULANE.EDU Organization: TULANE, BMEN, NEW ORLEANS, LA Date: Wed, 11 Nov 1992 17:43:56 GMT Nntp-Posting-Host-[nntpd-23077]: bpbme.bmen.tulane.edu Lines: 16