Robust Computational Techniques for Boundary Layers

ISBN-13: 9780367398781 / Angielski / Miękka / 2019 / 256 str.

Paul Farrell; Alan Hegarty; John M. Miller

Opis

Standard numerical methods are of little use in solving problems involving boundary layers. This volume presents an essentially new numerical technique that gives precise results in the boundary layer regions for the problems discussed. It shows that this technique can be adapted in a natural way to a real flow problem and can also be used to construct benchmark solutions for comparison with solutions found using other numerical techniques. Written at the advanced undergraduate and research level, this book provides readers with an understanding of the underlying principles and the essential components needed to construct numerical methods for boundary layer problems.

Spis treści

Introduction to Numerical Methods for Problems with Boundary Layers. Numerical Methods on Uniform Meshes. Layer Resolving Methods for Convection-Diffusion Problems in One Dimension. The Limitations of Non-Monotone Numerical Methods. Convection-Diffusion Problems in a Moving Medium. Convection-Diffusion Problems with Frictionless Walls. Convection-Diffusion Problems with No Slip Boundary Conditions. Experimental Estimation of Errors. Non-Monotone Methods in Two Dimensions. Linear and Nonlinear Reaction-Diffusion Problems. Prandtl Flow past a Flat Plate-Blasius' Method. Prandtl Flow past a Flat Plate-Direct Method. References.


NTI/Sales Copy

O autorze

Farrell, Paul; Hegarty, Alan; Miller, John M.; O'Riordan, Eugene; Shishkin, Grigory I.