Main advantage of using Runge Kutta of higher order? -- CFD Online Discussion Forums

May 14, 2013, 04:41	Main advantage of using Runge Kutta of higher order?	#1
jakubstary New Member Jakub Join Date: May 2013 Location: Czech Republic Posts: 16 Rep Power: 13	What is main advantage of using 2nd and 4th order Runge Kutta methods for time discretization? Is it stability for larger CFL condition or Runge Kutta is more accurate for same CFL condition? I compute Shallow water equations and I use Euler method, RK2 and RK4 for time discretization. If I have CFL = 0.9 then I get Euler method as the most accurate, but if I set CFL = 3.5 then I get RK4 is more accurate than Euler method with CFL=0.9. Euler method is obviously unstable for CFL = 3.5. Are my results correct? Thank you Jakub

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