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.
Similar content being viewed by others
Author information
Authors and Affiliations
Additional information
Received June 25, 1997 / Revised version received October 6, 1998 / Published online: July 7, 1999
Rights and permissions
About this article
Cite this article
Douglas, Jr., J., Huang, CS. & Pereira, F. The modified method of characteristics with adjusted advection. Numer. Math. 83, 353–369 (1999). https://doi.org/10.1007/s002110050453
Issue Date:
DOI: https://doi.org/10.1007/s002110050453