3.2 Numerical examples

Subsections

• 3.2.1 Velocity at cell boundary
• 3.2.2 Flux-splitting
• 3.2.3 Example: small-amplitude wave
• 3.2.4 Example: Gaussian and conservativity
• 3.2.5 Lax-Wendroff theorem
• 3.2.6 Example: step-function and conservativity
• 3.2.7 Example: expansion shock and rarefaction fan
• 3.2.8 Entropy production by artificial viscosity
• 3.2.9 Entropy fix
• 3.2.10 Concepts from the linear world
• 3.2.11 Transformation of shock speed formula
• 3.2.12 Second-order extension of flux formula