Characteristics Finite Element Methods in Computational Fluid Dynamics

1. Governing Equations of Fluid Mechanics

2. Constitutive and State Equations

3. State Equations for Reacting Air

4. Euler and Navier Stokes Systems

5. Quasi One-Dimensional and Free-Surface Equations

6. Overview of CFD Algorithm Development

7. The Finite Element Method

8. Non-Linearly Stable Implicit Runge-Kutta Time Integrations

9. One-Dimensional Non-Discrete Characteristics-Bias Resolution

10. Characteristics-Bias Controller and Length

11. Computational Analysis of Quasi-1-D Incompressible Flows

12. Numerical Study of Generalized Quasi-1-D Free Surface Flows

13. CFD Investigation of Generalized Quasi-1-D Compressible Flows

14. Multi-Dimensional Characteristics and Characteristics-Bias Systems

15. Multi-Dimensional Incompressible Flows

16. Multi-Dimensional Free-Surface Flows

17. Multi-Dimensional Compressible Flows

DRM-restrictions

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