Dear all,
I'm validating the Shan-Chen model of single bubble evolution with Rayleigh-Plesset equation, However, I tried my best but cannot get close results with theory Rayleigh-Plesset equation (in literature it always have good agreement) which I solved with Runge-Kutta. I tried different domain size and with larger size it seems the pressuer boundary condition has less effect on the bubble. I also tried different literatures with different R-P equation and the results differ. Can someone give me any directions on how to fix this problem? The picture is attached as follows and thanks in advance.
Perhaps you haven't implemented the differential equation or the Runge-Kutta correctly. I solved a very similar problem 42 years ago. Let's see your code.
That means you have not implemented the ODE correctly. You are solving an equation but not the one you want to solve.
What you have shown is that the problem isn't in the Runge-Kutta and so it must be in your implementation of the Rayleigh-Plesset equation or your interpretation of the theory presented in the Shan-Chen model.
Such is the nature of learning new things. Progress is often characterized by long periods of plodding along with an occasional sprint but you will get there eventually so press on.
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