Comprehensive Method

Abstract

Chapter 10 is devoted to the author variant for generating adaptive grids by projecting quasiuniform grids from monitor hypersurfaces. The chapter also includes an expansion of the method by introducing general control metrics in the physical geometry. The control metrics provide efficient and straightforwardly defined conditions for various types of grid adaptation, particularly grid clustering according to given function values and/or gradients, grid alignment with given vector fields, and combinations thereof. Using this approach, one can generate both adaptive and fixed grids in a unified manner, in arbitrary domains and on their boundaries.