Description

Computational Fluid Dynamics (CFD) is an important design tool in engineering and also a substantial research tool in various physical sciences.

The objective of this book is to provide a solid foundation for understanding the numerical methods employed in today's CFD and to raise awareness of modern CFD codes through hands-on experience. The book will be an essential reference work for engineers and scientists starting to work in the field of CFD or those who apply CFD codes.

The accompanying CD-ROM contains the sources of 1-D and 2-D Euler solvers as well as grid generators.

Audience

The book will be an essential reference work for engineers and scientists in the field of computational fluid dynamics, or those who apply CFD codes.

Contents

Introduction.

Governing Equations.

The flow and its mathematical description. Viscous stresses. Complete system of the Navier-Stokes equations.

Principles of Solution of the Governing Equations.

Spatial discretisation. Temporal discretisation. Turbulence modelling. Initial and boundary conditions.

Spatial Discretisation: Structured Finite Volume Schemes.

Geometrical quantities of a control volume. General discretisation methodologies. Discretisation of convective fluxes. Discretisation of viscous fluxes.

Spatial Discretisation: Unstructured Finite Volume Schemes.

Geometrical quantities of a control volume. General discretisation methodologies. Discretisation of convective fluxes. Discretisation of viscous fluxes.

Temporal Discretisation.

Explicit time-stepping schemes. Implicit time-stepping schemes. Methodologies for unsteady flows.

Turbulence Modelling.

Basic equations of turbulence. First-order closures. Large-eddy simulation.

Boundary Conditions.

Concept of dummy cells. Solid wall. Farfield. Inlet/outlet boundary. Symmetry plane. Coordinate cut. Periodic boundaries. Interface between grid blocks. Flow gradients at boundaries of unstructured grids.

Acceleration Techniques.

Local time-stepping. Enthalpy damping. Residual smoothing. Multigrid. Preconditioning for low mach numbers.

Consistency, Accuracy and Stability.

Consistency of requirements. Accuracy of discretisation. Von Neumann stability analysis.

Principles of Grid Generation.

Structured grids. Unstructured grids.

Description of the Source Codes.

Programs for stability analysis. Structured 1-D grid generator. Structured 2-D grid generators. Structured to unstructured grid converter. Quasi 1-D Euler solver. Structured 2-D Euler solver. Unstructured 2-D Euler solver.

Appendix.

Index.