Ebook: High-Resolution Methods for Incompressible and Low-Speed Flows

Dimitris Drikakis is Professor and Head of Fluid Mechanics and Computational Science Group at Cranfield University, United Kingdom. His research interests include computational methods, modeling of turbulent flows, unsteady aerodynamics, flow instabilities, shock waves and gas dynamics, biological flows, computational nanotechnology and nanoscience, and high performance computing.

William Rider is project and team leader in the Continuum Dynamics Group in the Computer and Computational Sciences Division of the Los Alamos National Laboratory (LANL), U.S.A. His principal interest is computational physics with an emphasis on fluid dynamics, radiation transport, turbulent mixing, shock physics, code verification, code validation and models for turbulence.

This book covers the basic techniques for simulating incompressible and low-speed flows with high fidelity in conjunction with high-resolution methods. This includes techniques for steady and unsteady flows with high-order time integration and multigrid methods, as well as specific issues associated with interfacial and turbulent flows. The book is addressed to a broad readership, including engineers and scientists concerned with the development or application of computational methods for fluid flow problems in: Mechanical, Aerospace, Civil and Chemical Engineering, Biological Flows, Atmospheric and Oceanographic Applications as well as other Environmental disciplines. It can be used for teaching postgraduate courses on Computational Fluid Dynamics and Numerical Methods in Engineering and Applied Mathematics, and can also be used as a complementary textbook in undergraduate CFD courses.

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Dimitris Drikakis is Professor and Head of Fluid Mechanics and Computational Science Group at Cranfield University, United Kingdom. His research interests include computational methods, modeling of turbulent flows, unsteady aerodynamics, flow instabilities, shock waves and gas dynamics, biological flows, computational nanotechnology and nanoscience, and high performance computing.

William Rider is project and team leader in the Continuum Dynamics Group in the Computer and Computational Sciences Division of the Los Alamos National Laboratory (LANL), U.S.A. His principal interest is computational physics with an emphasis on fluid dynamics, radiation transport, turbulent mixing, shock physics, code verification, code validation and models for turbulence.

This book covers the basic techniques for simulating incompressible and low-speed flows with high fidelity in conjunction with high-resolution methods. This includes techniques for steady and unsteady flows with high-order time integration and multigrid methods, as well as specific issues associated with interfacial and turbulent flows. The book is addressed to a broad readership, including engineers and scientists concerned with the development or application of computational methods for fluid flow problems in: Mechanical, Aerospace, Civil and Chemical Engineering, Biological Flows, Atmospheric and Oceanographic Applications as well as other Environmental disciplines. It can be used for teaching postgraduate courses on Computational Fluid Dynamics and Numerical Methods in Engineering and Applied Mathematics, and can also be used as a complementary textbook in undergraduate CFD courses.

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Dimitris Drikakis is Professor and Head of Fluid Mechanics and Computational Science Group at Cranfield University, United Kingdom. His research interests include computational methods, modeling of turbulent flows, unsteady aerodynamics, flow instabilities, shock waves and gas dynamics, biological flows, computational nanotechnology and nanoscience, and high performance computing.

William Rider is project and team leader in the Continuum Dynamics Group in the Computer and Computational Sciences Division of the Los Alamos National Laboratory (LANL), U.S.A. His principal interest is computational physics with an emphasis on fluid dynamics, radiation transport, turbulent mixing, shock physics, code verification, code validation and models for turbulence.

This book covers the basic techniques for simulating incompressible and low-speed flows with high fidelity in conjunction with high-resolution methods. This includes techniques for steady and unsteady flows with high-order time integration and multigrid methods, as well as specific issues associated with interfacial and turbulent flows. The book is addressed to a broad readership, including engineers and scientists concerned with the development or application of computational methods for fluid flow problems in: Mechanical, Aerospace, Civil and Chemical Engineering, Biological Flows, Atmospheric and Oceanographic Applications as well as other Environmental disciplines. It can be used for teaching postgraduate courses on Computational Fluid Dynamics and Numerical Methods in Engineering and Applied Mathematics, and can also be used as a complementary textbook in undergraduate CFD courses.

Content:
Front Matter....Pages I-XX
Introduction....Pages 1-3
The Fluid Flow Equations....Pages 7-25
The Viscous Fluid Flow Equations....Pages 27-50
Curvilinear Coordinates and Transformed Equations....Pages 51-65
Overview of Various Formulations and Model Equations....Pages 67-78
Basic Principles in Numerical Analysis....Pages 79-97
Time Integration Methods....Pages 99-119
Numerical Linear Algebra....Pages 121-143
Compressible and Preconditioned-Compressible Solvers....Pages 147-171
The Artificial Compressibility Method....Pages 173-208
Projection Methods: The Basic Theory and the Exact Projection Method....Pages 209-235
Approximate Projection Methods....Pages 237-292
Introduction to Modern High-Resolution Methods....Pages 295-307
High-Resolution Godunov-Type Methods for Projection Methods....Pages 309-345
Centered High-Resolution Methods....Pages 347-372
Riemann Solvers and TVD Methods in Strict Conservation Form....Pages 373-428
Beyond Second-Order Methods....Pages 429-476
Variable Density Flows and Volume Tracking Methods....Pages 479-528
High-Resolution Methods and Turbulent Flow Computation....Pages 529-555
Back Matter....Pages 557-622

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Dimitris Drikakis is Professor and Head of Fluid Mechanics and Computational Science Group at Cranfield University, United Kingdom. His research interests include computational methods, modeling of turbulent flows, unsteady aerodynamics, flow instabilities, shock waves and gas dynamics, biological flows, computational nanotechnology and nanoscience, and high performance computing.

William Rider is project and team leader in the Continuum Dynamics Group in the Computer and Computational Sciences Division of the Los Alamos National Laboratory (LANL), U.S.A. His principal interest is computational physics with an emphasis on fluid dynamics, radiation transport, turbulent mixing, shock physics, code verification, code validation and models for turbulence.

This book covers the basic techniques for simulating incompressible and low-speed flows with high fidelity in conjunction with high-resolution methods. This includes techniques for steady and unsteady flows with high-order time integration and multigrid methods, as well as specific issues associated with interfacial and turbulent flows. The book is addressed to a broad readership, including engineers and scientists concerned with the development or application of computational methods for fluid flow problems in: Mechanical, Aerospace, Civil and Chemical Engineering, Biological Flows, Atmospheric and Oceanographic Applications as well as other Environmental disciplines. It can be used for teaching postgraduate courses on Computational Fluid Dynamics and Numerical Methods in Engineering and Applied Mathematics, and can also be used as a complementary textbook in undergraduate CFD courses.

Content:
Front Matter....Pages I-XX
Introduction....Pages 1-3
The Fluid Flow Equations....Pages 7-25
The Viscous Fluid Flow Equations....Pages 27-50
Curvilinear Coordinates and Transformed Equations....Pages 51-65
Overview of Various Formulations and Model Equations....Pages 67-78
Basic Principles in Numerical Analysis....Pages 79-97
Time Integration Methods....Pages 99-119
Numerical Linear Algebra....Pages 121-143
Compressible and Preconditioned-Compressible Solvers....Pages 147-171
The Artificial Compressibility Method....Pages 173-208
Projection Methods: The Basic Theory and the Exact Projection Method....Pages 209-235
Approximate Projection Methods....Pages 237-292
Introduction to Modern High-Resolution Methods....Pages 295-307
High-Resolution Godunov-Type Methods for Projection Methods....Pages 309-345
Centered High-Resolution Methods....Pages 347-372
Riemann Solvers and TVD Methods in Strict Conservation Form....Pages 373-428
Beyond Second-Order Methods....Pages 429-476
Variable Density Flows and Volume Tracking Methods....Pages 479-528
High-Resolution Methods and Turbulent Flow Computation....Pages 529-555
Back Matter....Pages 557-622
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