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The modified method of characteristics with adjusted advection |
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| Authors: | Jim Douglas Jr. Chieh-Sen Huang Felipe Pereira |
| Affiliation: | Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA, US Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung 80424, Taiwan, TW Instituto Politécnico, Universidade do Estado do Rio de Janeiro, Rua Alberto Rangel, s/n, Nova Friburgo, RJ, Brazil 28601-970, BR |
| Abstract: | Summary. The MMOC procedure for approximating the solutions of transport-dominated diffusion problems does not automatically preserve integral conservation laws, leading to (mass) balance errors in many kinds of flow problems. The variant, called the MMOCAA, discussed herein preserves the conservation law at a minor additional computational cost. It is shown that its solution, in either Galerkin or finite difference form, converges at the same rates as were proved earlier by Dougl as and Russell for the standard MMOC procedure. Received June 25, 1997 / Revised version received October 6, 1998 / Published online: July 7, 1999 |
| Keywords: | Mathematics Subject Classification (1991):65M25 |
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