Adaptive Finite Difference Methods in Fluid Dynamics (Classic Reprint) - Hardcover

M. J. Berger

 
9780656165070: Adaptive Finite Difference Methods in Fluid Dynamics (Classic Reprint)

Synopsis

Unlock faster, more reliable fluid simulations with adaptive mesh refinement that concentrates detail where it matters.

This practical guide explains how adaptive methods focus computational effort on regions with high error, like shocks and boundary layers, to improve accuracy without a proportional rise in cost. It covers two main approaches and shows how they fit with finite difference schemes to solve common fluid dynamics problems.

  • Understand moving grid point methods and embedded grid patches, and when each approach works best
  • See how simple data structures, like tree-based grids, enable robust, automatic refinement
  • Learn about interface conditions that keep solutions conservative across coarse-fine boundaries
  • Explore real-world results, including efficiency gains and memory considerations in large simulations
Ideal for engineers and researchers working with computational fluid dynamics and the practical challenges of implementing adaptive methods.

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