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PatchRK.3D.cpp File Reference

Implements a RK-midpoint time stepping routine. More...

#include <cstdio>
#include <string>
#include "PatchPluto.H"
#include "LoHiSide.H"

Detailed Description

The RK-midpoing advance the system of conservation law by first evolving the solution at the half-time level and then doing a full step using midpoint quadrature rule:

\[ \left\{\begin{array}{lcl} U^{n+\HALF} &=& U^n + \frac{\Delta t}{2} R^n \\ \noalign{\medskip} U^{n+1} &=& U^n + \Delta t R^{n+\HALF} \end{array}\right. \]

Authors
A. Mignone (migno.nosp@m.ne@p.nosp@m.h.uni.nosp@m.to.i.nosp@m.t)
C. Zanni (zanni.nosp@m.@oat.nosp@m.o.ina.nosp@m.f.it)
Date
Sep 20, 2012