Finite Element Method for Fluid Dynamics
Finite Element Method for Fluid Dynamics
Nithiarasu, P.; Taylor, R. L.
Elsevier - Health Sciences Division
11/2024
596
Dura
9780323958868
15 a 20 dias
2. The finite element approximation
3. Convection dominated problems - finite element approximations to the convection-diffusion-reaction equation
4. Fractional step methods: the characteristic-based split (CBS) algorithm for compressible and incompressible flows
5. Incompressible Newtonian laminar flows
6. Incompressible non-Newtonian flows
7. Free surface flows
8. Buoyancy driven flows
9. Compressible high-speed gas flow
10. Adaptive mesh refinement
11. Turbulent flows
12. Flow and heat transport in porous media
13. Shallow-water problems
14. Long and medium waves
15. Short waves
16. Fluid-structure interaction
17. Biofluid dynamics - blood flow
18. Data-driven methods
19. Computer implementation of the CBS algorithm
Appendix A: Self-adjoint differential equations
Appendix B: Non-conservative form of Navier-Stokes equations
Appendix C: Computing drag force and stream function
Appendix D: Convection-diffusion equations: vector-valued variables
Appendix E: Integration formulae
Appendix F: Edge-based finite element formulation
Appendix G: Boundary layer-inviscid flow coupling
Appendix H: Multigrid method
Appendix I: Mass-weighted averaged turbulence transport equations
Appendix J: Introduction to neural networks
2. The finite element approximation
3. Convection dominated problems - finite element approximations to the convection-diffusion-reaction equation
4. Fractional step methods: the characteristic-based split (CBS) algorithm for compressible and incompressible flows
5. Incompressible Newtonian laminar flows
6. Incompressible non-Newtonian flows
7. Free surface flows
8. Buoyancy driven flows
9. Compressible high-speed gas flow
10. Adaptive mesh refinement
11. Turbulent flows
12. Flow and heat transport in porous media
13. Shallow-water problems
14. Long and medium waves
15. Short waves
16. Fluid-structure interaction
17. Biofluid dynamics - blood flow
18. Data-driven methods
19. Computer implementation of the CBS algorithm
Appendix A: Self-adjoint differential equations
Appendix B: Non-conservative form of Navier-Stokes equations
Appendix C: Computing drag force and stream function
Appendix D: Convection-diffusion equations: vector-valued variables
Appendix E: Integration formulae
Appendix F: Edge-based finite element formulation
Appendix G: Boundary layer-inviscid flow coupling
Appendix H: Multigrid method
Appendix I: Mass-weighted averaged turbulence transport equations
Appendix J: Introduction to neural networks