Adaptive high-order methods in computational fluid dynamics / editor, Z.J. Wang.

Format:

Book

Contributor:

Wang, Z. J.

Series:

Advances in computational fluid dynamics ; v. 2.

Advances in computational fluid dynamics ; v. 2

Language:

English

Subjects (All):

Computational fluid dynamics.

Differential equations--Numerical solutions--Data processing.

Differential equations.

Physical Description:

1 online resource (471 p.)

Edition:

1st ed.

Place of Publication:

Singapore ; Hackensack, N.J. : World Scientific, c2011.

Language Note:

English

Summary:

This book consists of important contributions by world-renowned experts on adaptive high-order methods in computational fluid dynamics (CFD). It covers several widely used, and still intensively researched methods, including the discontinuous Galerkin, re

Contents:

Preface; CONTENTS; Chapter 1: Discontinuous Galerkin for Turbulent Flows Francesco Bassi, Lorenzo Botti, Alessandro Colombo, Antonio Ghidoni And Stefano Rebay; 1. Introduction; 2. DG Solution of the RANS and k-! Equations; 2.1. Governing equations; 2.1.1. Surface boundary condition for; 2.2. DG space discretization; 2.2.1. Orthonormal and hierarchical basis functions; 2.3. Time integration; 2.3.1. Linearly implicit Runge-Kutta schemes; 2.4. Shock-capturing approach; 3. Numerical Results; 3.1. L1T2 3-element airfoil; 3.2. ONERA M6 wing; 3.3. DPWIII W1 wing; 3.4. DLR-F6 wing-body configuration

3.5. NASA 65 sweep delta wing4. Final Remarks; Acknowledgments; References; Chapter 2: Massively Parallel Solution Techniques for Higher-Order Finite-Element Discretizations in CFD Laslo T. Diosady and David L. Darmofal; 1. Introduction; 2. Schwarz Methods; 2.1. The case of two subdomains; 2.2. The case of many subdomains; 2.3. Large scale CFD applications; 3. Schur Complement Methods; 3.1. An interface problem; 3.2. Classical substructuring methods; 3.3. Approximate factorizations; 4. Neumann-Neumann Methods; 4.1. BDDC and FETI-DP; 5. Numerical Results; References

Chapter 3: Error Estimation and hp-Adaptive Mesh Refinement for Discontinuous Galerkin Methods Tobias Leicht and Ralf Hartmann1. Introduction; 2. Flow Problem and Its Discretization; 3. Error Estimation and Local Error Indicators; 3.1. Single target quantities; 3.2. Multiple target quantities; 4. Adaptation Strategies; 4.1. Comparison of h- and p-type mesh refinement; 4.2. Combined hp-refinement; 4.3. hp-indicator in 1D; 4.4. hp-indicator in multiple dimensions and for systems of equations; 4.5. Anisotropic h-subdivision; 5. Adaptive Refinement Algorithm; 6. Numerical Results

6.1. Laminar subsonic flow around an airfoil6.2. Transonic flow around an airfoil; 6.3. Laminar flow around a delta wing; 6.4. L1T2 three element high lift configuration; 6.5. Subsonic turbulent flow around the DLR-F6 wing-body configuration; 7. Conclusion and Outlook; Acknowledgments; References; Chapter 4: A Runge-Kutta based Discontinuous Galerkin Method with Time Accurate Local Time Stepping Gregor J. Gassner, Florian Hindenlang and Claus-Dieter Munz; 1. Introduction; 2. General Formulation; 2.1. The semi discrete form; 2.2. The fully discrete form

2.3. The predictor-corrector formulation3. Beyond the Global Time Integration Paradigm; 3.1. Time-accurate local time stepping; 4. Results; 4.1. Time accuracy; 4.2. Accuracy for non-linear problems; 4.3. Application; 5. Conclusion; Acknowledgments; References; Chapter 5: High-Order Discontinuous Galerkin Methods for CFD Jaime Peraire and Per-Olof Persson; 1. Introduction; 2. Governing Equations; 2.1. The compressible Navier-Stokes equations; 2.2. Turbulence modeling; 2.3. Mapping-based ALE formulation for deformable domains; 2.3.1. The mapping; 2.3.2. Transformed equations

2.3.3. Geometric conservation law

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

9786613234704

9781283234702

128323470X

9789814313193

981431319X

OCLC:

755587453