This textbook explores both the theoretical foundation of the Finite Volume Method (FVM) and its applications in Computational Fluid Dynamics (CFD). Readers will discover a thorough explanation of the FVM numerics and algorithms used for the simulation of incompressible and compressible fluid flows, along with a detailed examination of the components needed for the development of a collocated unstructured pressure-based CFD solver. Two particular CFD codes are explored. The first is uFVM, a three-dimensional unstructured pressure-based finite volume academic CFD code, implemented within Matlab. The second is OpenFOAM®, an open source framework used in the development of a range of CFD programs for the simulation of industrial scale flow problems.
With over 220 figures, numerous examples and more than one hundred exercise on FVM numerics, programming, and applications, this textbook is suitable for use in an introductory course on the FVM, in an advanced course on numerics, and as a reference for CFD programmers and researchers.
Author(s): F. Moukalled, L. Mangani, M. Darwish
Series: Fluid Mechanics and Its Applications 113
Publisher: Springer
Year: 2015
Language: English
Pages: xxiv+791
Tags: Engineering Fluid Dynamics; Computational Science and Engineering; Numerical and Computational Physics; Fluid- and Aerodynamics
Front Matter....Pages i-xxiii
Front Matter....Pages 1-1
Introduction....Pages 3-8
Review of Vector Calculus....Pages 9-42
Mathematical Description of Physical Phenomena....Pages 43-83
The Discretization Process....Pages 85-101
The Finite Volume Method....Pages 103-135
The Finite Volume Mesh....Pages 137-171
The Finite Volume Mesh in OpenFOAM® and uFVM....Pages 173-207
Front Matter....Pages 209-209
Spatial Discretization: The Diffusion Term....Pages 211-271
Gradient Computation....Pages 273-302
Solving the System of Algebraic Equations....Pages 303-364
Discretization of the Convection Term....Pages 365-427
High Resolution Schemes....Pages 429-488
Temporal Discretization: The Transient Term....Pages 489-533
Discretization of the Source Term, Relaxation, and Other Details....Pages 535-557
Front Matter....Pages 559-559
Fluid Flow Computation: Incompressible Flows....Pages 561-654
Fluid Flow Computation: Compressible Flows....Pages 655-690
Front Matter....Pages 691-691
Turbulence Modeling....Pages 693-744
Boundary Conditions in OpenFOAM® and uFVM....Pages 745-759
An OpenFOAM® Turbulent Flow Application....Pages 761-776
Closing Remarks....Pages 777-777
Back Matter....Pages 779-791
