Abstract Domain decomposition (DD) is a powerful approach to numerically solve partial
differential equations, and it has become popular and indispensable in simulations of fluid …

The aim of this work is the development of an automatic, adaptive mesh refinement strategy
for solving hyperbolic conservation laws in two dimensions. There are two main difficulties in …

Aquatic and aerial animals have developed their superior and complete mechanisms of
swimming and flight. These mechanisms bring excellent locomotion performances to natural …

The work reported herein was conducted by the Arnold Engineering Development Center
(AEDC), Air Force Systems Command (AFSC). The Program Manager was Dr. Keith …

We discuss the generation of curvilinear composite overlapping grids and the numerical
solution of partial differential equations on them. A composite overlapping grid consists of a …

A class of high resolution multidimensional wave-propagation algorithms is described for
general time-dependent hyperbolic systems. The methods are based on solving Riemann …

In finite difference flow field simulations the use of a single well-ordered body-conforming
curvilinear mesh can lead to efficient solution procedures. However, it is generally …

The decision to write this book was a tough one. Adaptive methods cover such a broad area
that it is virtually impossible to include a survey of the literature. Moreover, because the best …

In multiphysics simulations using a partitioned approach, each physics component solves on
its own mesh, and the interfaces between these meshes are in general non‐matching …

The purpose of this study is to provide criteria for optimizing meshsizes near singularities
and develop fast and flexible multigrid methods for creating the nonuniform grids, their …