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The Constant-Flow Patch Test -- A Unique Guideline for the Evaluation of Discretization Schemes for the Current Continuity Equations

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1 Author(s)
Huang, M.-D.D. ; Philips Research Laboratories Sunnyvale, Signetics Corporation, Sunnyvale, CA, USA

The first patch test applicable to equations of the form of the advection-diffusion equation is presented. In contrast to the traditional constant-strain patch test scheme, a constant-flow condition is proposed in the present test. Numerical experiments indicate that for an algorithm, such constant-flow patch test reproduces its numerical characteristics which have been observed in actual device applications. Hence, this new patch test permits a handy legitimacy check for an algorithm without the uncertainties and complexities involved in the solution of a device problem. Evaluation of some of the existing algorithms based on this test is discussed. Among the algorithms examined, only Algorithm OM passes the patch test on an irregular mesh.

Published in:

Computer-Aided Design of Integrated Circuits and Systems, IEEE Transactions on  (Volume:4 ,  Issue: 4 )

Date of Publication:

October 1985

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