Courant-Friedrichs-Lewy condition

Second method consists of a straightforward discretization method first order (Euler) explicit in time and finite differences in space. Both the time step and the grid size are kept constant and satisfying the Courant Friedrichs Lewy (CFL) condition to ensure the stability of the calculations. To deal with the transport part we have considered the minmod slope limiting method based on the first order upwind flux and the higher order Richtmyer scheme (see, e.g. Quarteroni and Valli, 1994, Chapter 14). We call this method SlopeLimit. 

Conditions 10.86 to 10.88 are frequently called the Courant-Friedrichs- Lewy (CFL) convergence conditions [58] and a is called the Courant number. 

Courant number, used in the Courant-Friedrichs-Lewy necessary stability condition for hyperbolic equations... 

The explicit integration methods, such as leapfrog, prediction-correction or Runge-Kutta methods, are usually used to integrate SPH equations for fluid flows. The explicit time integration is conditionally stable. The time step should satisfy the convective stabihty constraint, i.e., the so-caUed Courant-Friedrichs-Lewy (CFL) condition,... 

Courant number, used in the Courant-Friedrichs-Lewy necessary stability condition for hyperbolic equations Covariance between the i and j velocity components measured by FDA (m /s )... 

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