# fractional step method

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 March 23, 2006, 17:59 fractional step method #1 Fuka Guest   Posts: n/a Hello! I'm trying to develop a code using fractional step metod but I have little practise. I use Runge-Kutta (for convection) and Crank-Nicolson(for diffusion) time stepping. In a substep I have to update velocities with eq. such as U(n+1)=U(n)+C(U)*dt+D(U)*dt+G(P)*dt+F*dt C ..conv,D ..diff.,G .. pressure gradient,F ext.force(I use immersed boundary method) Can I devide it in separate steps like this? U*=U(n)+C(U)*dt U**=U*+D(U*)*dt U***=U**+G(P)*dt U(no1)=U***+F*dt And what order should I use? Thanks for reply. Lada

 March 23, 2006, 18:01 Re: fractional step method #2 Fuka Guest   Posts: n/a U*=U(n)+C(U)*dt U**=U*+D(U*)*dt U***=U**+G(P)*dt U(no1)=U***+F*dt Sorry, I didn't expect it will write it that way.

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