This book is about adaptive mesh generation and moving mesh methods for the numerical
solution of time-dependent partial differential equations. It presents a general framework and …

We describe a new environment for the exploration of turbulent flows that uses a cluster of
databases to store complete histories of Direct Numerical Simulation (DNS) results. This …

We present a new approach to the use of parallel computers with adaptive finite element
methods. This approach addresses the load balancing problem in a new way, requiring far …

A new non-iterative mesh generation algorithm named conforming to interface structured
adaptive mesh refinement (CISAMR) is introduced for creating 3D finite element models of …

This manuscript introduces a new method named Conforming to Interface Structured
Adaptive Mesh Refinement (CISAMR) for the automated finite element modeling of problems …

Several new algorithmic aspects of the conforming to interface structured adaptive mesh
refinement (CISMAR) mesh generation technique are presented for creating high-fidelity …

We introduce a sharp interface method (SIM) for the direct numerical simulation of unstable
fluid–fluid interfaces. The method is based on the level set approach and the structured …

Parallel mesh generation is a relatively new research area between the boundaries of two
scientific computing disciplines: computational geometry and parallel computing. In this …

Converting a three-dimensional medical image into a 3D mesh that satisfies both the quality
and fidelity constraints of predictive simulations and image-guided surgical procedures …

Dynamic load balancing (DLB) for parallel systems has been studied extensively; however,
DLB for distributed systems is relatively new. To efficiently utilize computing resources …