251 |
\frac{\eta\hackscore{eff}}{\mu dt } \sigma\hackscore{ij,j}^{'-} |
\frac{\eta\hackscore{eff}}{\mu dt } \sigma\hackscore{ij,j}^{'-} |
252 |
\end{equation} |
\end{equation} |
253 |
Together with the incomressibilty condition~\ref{IKM-EQU-2} we need to solve a problem with a form almost identical |
Together with the incomressibilty condition~\ref{IKM-EQU-2} we need to solve a problem with a form almost identical |
254 |
to the Stokes problem discussed in section~\label{STOKES SOLVE} but with the difference that $\eta\hackscore{eff}$ is depending on the solution. Analog to the iteration scheme~\ref{SADDLEPOINT iteration 2} we can run |
to the Stokes problem discussed in section~\ref{STOKES SOLVE} but with the difference that $\eta\hackscore{eff}$ is depending on the solution. Analog to the iteration scheme~\ref{SADDLEPOINT iteration 2} we can run |
255 |
\begin{equation} |
\begin{equation} |
256 |
\begin{array}{rcl} |
\begin{array}{rcl} |
257 |
-\left(\eta\hackscore{eff}(dv\hackscore{i,j}+ dv\hackscore{i,j})\right)\hackscore{,j} & = & F\hackscore{i}+ \sigma\hackscore{ij,j}' \\ |
-\left(\eta\hackscore{eff}(dv\hackscore{i,j}+ dv\hackscore{i,j})\right)\hackscore{,j} & = & F\hackscore{i}+ \sigma\hackscore{ij,j}' \\ |