Transient transport problem - nonlinear case

NlTransientTransportProblem	nsteps(in) #
	[renumber(in) #]
	deltaT(rn) #
	alpha(rn) #
	[lumpedcapa() #]
	[nsmax(in) #]
	rtol(rn) #
	[manrmsteps(in) #]
	[sparselinsolverparams() #]
	[exportfields() #]
	[atomicfields(in) #]

Implicit integration scheme for transient transport problems. The generalized midpoint rule (sometimes called $\alpha$-method) is used for time discretization, with alpha parameter, which has limits $0\le\alpha\le1$. For $\alpha=0$ explicit Euler forward method is obtained, for $\alpha=0.5$ implicit trapezoidal rule is recovered, which is unconditionally stable, second-order accurate in $\Delta t$, and $\alpha=1.0$ yields implicit Euler backward method, which is unconditionally stable, and first-order accurate in $\Delta t$. deltaT is time step length used for integration, nsteps parameter specifies number of time steps to be solved. Parameter maxiter determines the maximum number of iterations allowed to reach equilibrium (default is 30). The convergence is reached, when norms of both residual fluxes and iterative change of solution vector is less than the value given by rtol. If manrmsteps parameter is nonzero, then the modified N-R scheme is used, with the left-hand side matrix updated after manrmsteps steps. If lumpedcapa is set, then the stabilization of numerical algorithm using lumped capacity matrix will be used, reducing the initial oscillations. Nonzero value of optional parameter renumber turns on the equation renumbering to optimize the profile of characteristic matrix (uses Sloan algorithm). By default, profile optimization is not performed. It will not work in parallel mode. See section 6.17 for explanation of exportfields and atomicfields parameters.

Note: This problem type requires transport module and it can be used only when this module is included in your oofem configuration.