A Survey of Difference Methods for Non-Steady Fluid Dynamics

By: Contributor(s): Series: NCAR Technical Notes | NCAR/TN- ; 63-2+STRBoulder, CO : University Corporation for Atmospheric Research, 1962Description: 25 pagesContent type:
  • text
Media type:
  • unmediated
Carrier type:
  • volume
Subject(s): Online resources: Summary: 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-Wendroff scheme, for a system of conservation laws, is discussed for problems in one and in two space variables.
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Technical Report

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-Wendroff scheme, for a system of conservation laws, is discussed for problems in one and in two space variables.

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