Computational Fluid Dynamics

Part - 1: Preliminaries Introduction Governing Equations Part - 2: Finite Difference Methods Derivation of Finite Difference Equations Solution Methods of Finite Difference Equations Incompressible Viscous Flows via Finite Difference Methods Compressible Flows Via Finite Difference Methods Finite Volume Methods Via Finite Difference Methods Part - 3: Finite Element Methods Introduction To Finite Element Methods Finite Element Interpolation Functions Linear Problems Nonlinear Problems/Convection Dominated Flows Incompressible Viscous Flows Via Finite Element Methods Compressible Flows Via Finite Element Methods Miscellaneous Weighted Residual Methods Finite Volume Methods Via Finite Element Methods Relationships Between Finite Differences And Finite Elements and Other Methods Part - 4: Automatic Grid Generation, Adaptive Methods and Computing Techniques Structured Grid Generation Unstructured Grid Generation Adaptive Methods Computing Techniques Part - 5: Applications Applications to Turbulence Applications to Chemically Reactive Flows And Combustion Applications to Acoustics Applications to Combined Mode Radiative Heat Transfer Applications to Multiphase Flows Applications to Electromagnetic Flows Applications to Relativistic Astrophysical Flows Appendix - A: Three Dimensional Flux Jacobians Appendix - B: Gaussian Quadrature Appendix - C: Two Phase Flow Source Term Jacobians for Surface Tension Appendix - D: Relativistic Astrophysical Flow Metrics, Christoffel Symbols and FDV Flux and Source Term Jacobians Appendix - E: Homework Problems