Lines Matching refs:time
3 …time-dependent Navier-Stokes equations of compressible gas dynamics in a static Eulerian three-dim…
112 For the time discretization, we use two types of time stepping schemes through PETSc.
117 …he adaptive Runge-Kutta-Fehlberg (RKF4-5) method by default (any explicit time-stepping scheme ava…
143 …time stepping method which can be selected using the option `-implicit` is solved with Backward Di…
150 where the time derivative $\bm{\dot q}_N$ is defined by
156 in terms of $\bm z_N$ from prior state and $\alpha > 0$, both of which depend on the specific time …
164 The scalar "shift" $\alpha$ scales inversely with the time step $\Delta t$, so small time steps res…
165 In contrast, the first term dominates for large time steps, with a condition number that grows with…
166 Both terms are significant for time-accurate simulation and the setup costs of strong preconditione…
168 More details of PETSc's time stepping solvers can be found in the [TS User Guide](https://petsc.org…
173 Galerkin methods produce oscillations for transport-dominated problems (any time the cell Péclet nu…
210 …or-ns-supg`, $\bm\tau \in \mathbb R^{5\times 5}$ (field indices) is an intrinsic time scale matrix.
250 Note that $\tau$ has units of time and, in the transport-dominated limit, is proportional to elemen…
336 …vides three types of problems/physical models that can be selected at run time via the option `-pr…