scispace - formally typeset
Open AccessBook

High-Order Methods for Incompressible Fluid Flow

TLDR
In this article, the authors present an approach for approximating the Stokes and Navier-Stokes equations for elliptic problems with respect to orthogonal polynomials and discrete transforms.
Abstract
Preface 1. Fluid mechanics and computation: an introduction 2. Approximation methods for elliptic problems 3. Parabolic and hyperbolic problems 4. Mutidimensional problems 5. Steady Stokes and Navier-Stokes equations 6. Unsteady Stokes and Navier-Stokes equations 7. Domain decomposition 8. Vector and parallel implementations Appendix A. Preliminary mathematical concepts Appendix B. Orthogonal polynomials and discrete transforms.

read more

Content maybe subject to copyright    Report

Citations
More filters
Journal ArticleDOI

Global Linear Instability

TL;DR: A review of linear instability analysis of flows over or through complex 2D and 3D geometries is presented in this article, where the authors make a conscious effort to demystify both the tools currently utilized and the jargon employed to describe them, demonstrating the simplicity of the analysis.
Journal ArticleDOI

Advances in global linear instability analysis of nonparallel and three-dimensional flows

TL;DR: A summary of physical insights gained into three-dimensional linear instability through solution of the two-dimensional partial-differential-equation-based nonsymmetric real or complex generalised eigenvalue problem is presented in this article.
Journal ArticleDOI

High-order compact schemes for incompressible flows: A simple and efficient method with quasi-spectral accuracy

TL;DR: It is shown that for the pressure treatment, an accurate Fourier representation can be used for more flexible boundary conditions than periodicity or free-slip, and this compromise fits particularly well for very high-resolution simulations of turbulent flows with relatively complex geometries without requiring heavy numerical developments.
Related Papers (5)