A new method for generating adaptive grids is presented. The transformation of a general nonlinear heat equation to arbitrary moving coordinates is derived. Typical aspects of solving equations in moving grids are discussed, in particular the conservation of mass as well as volume. A new method for constructing discretizations to conservation equations is presented, and applied to the nonlinear heat equation.

Keywords:
dimension, numerical simulation, conservation, grid, adaptivity, equation, physical domain, compo phy, surface integral, upstream oil & gas
Subjects:
Reservoir Simulation, Information Management and Systems
Copyright 1983, Society of Petroleum Engineers of AIME
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