Implicit Euler equations

moein_joon27 · January 12, 2011, 19:10

explicit euler equations usually have long convergence times. Is it possible to have an implicit time stepping instead to make the time step better? I am not meaning runge kutta methods. My own numerical method is finite volume with Roe' scheme.

d_dante · January 13, 2011, 14:43

I suggest to use a BDF method in where the solution of the implicit non-linear system is obtained by means of a modified Newton-Raphson scheme, with a dual time step integration technique (*)

(*) A. Jameson, Time dependent calculations using multigrid with applications to unsteady flows past airfoils and wings, in: 10th AIAA
Computational Fluid Dynamics Conference, Honolulu, HI, pp. 1–13. AIAA Paper 91-1596.

January 12, 2011, 19:10	Implicit Euler equations	#1
moein_joon27 New Member m p Join Date: Nov 2010 Posts: 15 Rep Power: 15	explicit euler equations usually have long convergence times. Is it possible to have an implicit time stepping instead to make the time step better? I am not meaning runge kutta methods. My own numerical method is finite volume with Roe' scheme.

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January 13, 2011, 14:43		#2
d_dante New Member Join Date: Jan 2011 Posts: 6 Rep Power: 15	I suggest to use a BDF method in where the solution of the implicit non-linear system is obtained by means of a modified Newton-Raphson scheme, with a dual time step integration technique () () A. Jameson, Time dependent calculations using multigrid with applications to unsteady flows past airfoils and wings, in: 10th AIAA Computational Fluid Dynamics Conference, Honolulu, HI, pp. 1–13. AIAA Paper 91-1596.