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Ruge Kutta programming question for unsteady flowI am trying to code a 1D unsteady flow problem using Runge Kutta for time stepping. I am using ODE functions in Maltab. I was looking at the Matlab help and the ODE solver in there. Looking at the first example:
function dy = rigid(t,y) dy = zeros(3,1); % a column vector dy(1) = y(2) * y(3); dy(2) = -y(1) * y(3); dy(3) = -0.51 * y(1) * y(2); options = odeset('RelTol',1e-4,'AbsTol',[1e-4 1e-4 1e-5]); [T,Y] = ode45(@rigid,[0 12],[0 1 1],options); I have my equations almost in this form now, apart from the fact that y (or my variables) also vary with x. So I was wondering if each y i.e. y(1) , y(2) ... could be column vectors themselves containing the variations of y for each element or cell centre? Thanks very much. |

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