Changes between Version 51 and Version 52 of u/bliu/pnfldiff


Ignore:
Timestamp:
09/05/18 16:33:08 (6 years ago)
Author:
Baowei Liu
Comment:

Legend:

Unmodified
Added
Removed
Modified
  • u/bliu/pnfldiff

    v51 v52  
    7979 $ U=(I, n_{H}, e)^{T}$
    8080
    81  
     81Define 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
     85where 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 $U^{n+1}$. 
    8286
    8387