Syllabus
Mathematical theory of compressible flow. Equations describing the flow.
The Euler equations. Properties of the Euler equations.
Cauchy problem. Weak solutions.
Finite volume method. Finite volume mesh.
Derivation of a general finite volume scheme. Properties of the numerical flux.
Construction of some numerical fluxes. The Godunov method.
Annotation
Mathematical theory of compressible flow. Equations describing the flow. The Euler equations. Properties of the
Euler equations. Cauchy problem. Weak solutions. Finite volume method. Finite volume mesh. Derivation of a general finite volume scheme. Properties of the numerical flux. Construction of some numerical fluxes. The
Godunov method.