Changes between Version 51 and Version 52 of u/bliu/pnfldiff
- Timestamp:
- 09/05/18 16:33:08 (6 years ago)
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u/bliu/pnfldiff
v51 v52 79 79 $ U=(I, n_{H}, e)^{T}$ 80 80 81 81 Define the nonlinear residual function for the time step $t^{n}->t^{n+1}$, as 82 83 $f(U)=U+\Delta t\phi\left( D_{I}(U)+L_{I}(U),L_{n_{H}}(U),L_{e}(U) \right)^{T} -\left( g^{n}_{I},g^{n}_{n_{H}},g^{n}_{e} \right)^{T}$ 84 85 where the vectors $g^{n}$ are formed using the previous time-level information. In order to evolve the coupled implicit system, we solve the nonlinear problem f(U)=0 for the updated vector of unknowns $U^{n+1}$. 82 86 83 87