Math 244 A,B,C, Syllabus


Computational Fluid Dynamics

I.

Multigrid Methods

1.

Multigrid methods for elliptic PDE's

2.

Multigrid algorithms and error analysis

3.

Prolongation and restriction operator

4.

Smoothing analysis

II.

Compressible Flow

1.

Mathematical formulation of Euler equations

2.

Characteristic variables and boundary conditions

3.

Lax-Wendroff schemes

4.

Approximate Riemann solvers

5.

Entropy and monotonicity conditions

III.

Incompressible Flow

1.

Various forms of the Navier Stoeks equation

2.

Finite difference, finite volume and spectral methods for incompressible flow

3.

Projection methods and the stream function vorticity approach