TY - BOOK AU - Moukalled,F. AU - Mangani,L. AU - Darwish,M. TI - The Finite Volume Method in Computational Fluid Dynamics: An Advanced Introduction with OpenFOAM and Matlab T2 - Fluid Mechanics and Its Applications, SN - 9783319168746 U1 - 620.1064 23 PY - 2016/// CY - Cham PB - Springer International Publishing, Imprint: Springer KW - Fluid mechanics KW - Computer mathematics KW - Physics KW - Fluids KW - Engineering Fluid Dynamics KW - Computational Science and Engineering KW - Numerical and Computational Physics, Simulation KW - Fluid- and Aerodynamics N1 - Foundation -- 1 Introduction -- 2 Review of Vector Calculus -- 3 Mathematical Description of Physical Phenomena -- 4 The Discretization Process -- 5 The Finite Volume Method -- 6 The Finite Volume Mesh -- 7 The Finite Volume Mesh in OpenFOAM� and uFVM -- Discretization -- 8 Spatial Discretization: The Diffusion Term -- 9 Gradient Computation -- 10 Solving the System of Algebraic Equations -- 11 Discretization of the Convection Term -- 12 High Resolution Schemes -- 13 Temporal Discretization: The Transient Term -- 14 Discretization of the Source Term, Relaxation, and Other Details -- Algorithms -- 15 Fluid Flow Computation: Incompressible Flows -- 16 Fluid Flow Computation: Compressible Flows -- Applications -- 17 Turbulence Modeling -- 18 Boundary Conditions in OpenFOAM� and uFVM -- 19 An OpenFOAM� Turbulent Flow Application -- 20 Closing Remarks -- Appendices N2 - 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 UR - https://hdl.loc.gov/loc.gdc/stacks.2019737649 ER -