Do the interpolation schemes used by HAMMER satisfy the Courant stability condition?

  Applies To 
  Product(s): HAMMER
  Version(s): V8i, CONNECT Edition
  Area:  Modeling
  Original Author: Scott Kampa, Bentley Technical Support Group

Problem Description

Do the interpolation schemes used by HAMMER satisfy the Courant stability condition?

 

Solution

Courant stability criterion is not relevant to the method of characteristics (MOC), but rather applies to explicit finite-difference solutions of hyperbolic partial differential equations.  (The Courant condition imposes a maximum time step as a function of the spatial step and wave speed.)  In MOC, there is no theoretical limit on the size of the time step for the sake of stability; practical limits arise on account of accuracy concerns due to complex boundary conditions at nodes and nonlinear frictional losses.

See Also

Numerical method used for transient simulations in HAMMER

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