A Survey of Difference Methods for Non-Steady Fluid Dynamics
Richtmyer, R. D. (1962). A Survey of Difference Methods for Non-Steady Fluid Dynamics (No. NCAR/TN-63-2+STR). University Corporation for Atmospheric Research. doi:10.5065/D67P8WCQ
Several finite-difference approximations to the hyperbolic equations of fluid dynamics are described, and their qualities assessed. They include the schemes normally used and, for comparison, an unstable and a completely stable implicit scheme. Accuracy and stability are discussed. The Lax-Wendro... Show moreSeveral finite-difference approximations to the hyperbolic equations of fluid dynamics are described, and their qualities assessed. They include the schemes normally used and, for comparison, an unstable and a completely stable implicit scheme. Accuracy and stability are discussed. The Lax-Wendroff scheme, for a system of conservation laws, is discussed for problems in one and in two space variables. Show less
