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Convergence order of a simple laplacianFoam case

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Old   September 9, 2021, 10:50
Default Convergence order of a simple laplacianFoam case
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Hi everyone,

I'm simulating a simple case using `laplacianFoam` (it's actually a slightly modified version of `laplacianFoam` which takes a non-zero RHS into account, but this should not matter for the overall question) on a two-dimensional rectangular domain. Since initial conditions as well as boundary conditions are space and time dependent, I use `funkySetFields` in order to initialize my domain and `groovyBC` in order to apply the space-time dependent Dirichlet boundary conditions on all domain boundaries.

The test case has a known analytic solution, so that I can evaluate the error at each individual time step. However, I would expect the error convergence to be of second order, whereas I observe only first order convergence.

The relevant settings from my fvSchemes are essentially

    grad(T)         Gauss linear;

    laplacian(DT,T) Gauss linear corrected;
which are according to the OpenFOAM documentation both second order schemes. Only my time discretization is of first order, but the problem is linear in time, so that I don't expect relevant errors from this side.

Is my expectation of a second order convergence simply wrong or do you see any obvious errors in my simulation setup? Any hints are very welcome.

Thanks in advance and best regards,
daven is offline   Reply With Quote


convergence, numerical schemes

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