Lines Matching refs:time

6 …time-dependent Navier-Stokes equations of compressible gas dynamics in a static Eulerian three-dim…
109 For the time discretization, we use two types of time stepping schemes through PETSc.
111 #### Explicit time-stepping method
113 …he adaptive Runge-Kutta-Fehlberg (RKF4-5) method by default (any explicit time-stepping scheme ava…
137 #### Implicit time-stepping method
139 …time stepping method which can be selected using the option `-implicit` is solved with Backward Di…
146   where the time derivative $\bm{\dot q}_N$ is defined by
152 …$ from prior state and $\alpha > 0$, both of which depend on the specific time integration scheme …
160 …The scalar "shift" $\alpha$ scales inversely with the time step $\Delta t$, so small time steps re…
161 …In contrast, the first term dominates for large time steps, with a condition number that grows wit…
162 …Both terms are significant for time-accurate simulation and the setup costs of strong precondition…
164 More details of PETSc's time stepping solvers can be found in the [TS User Guide](https://petsc.org…
169 Galerkin methods produce oscillations for transport-dominated problems (any time the cell Péclet nu…
206 …or-ns-supg`, $\bm\tau \in \mathbb R^{5\times 5}$ (field indices) is an intrinsic time scale matrix.
246 Note that $\tau$ has units of time and, in the transport-dominated limit, is proportional to elemen…
317 …vides three types of problems/physical models that can be selected at run time via the option `-pr…
321 …h as LES and DNS), statistics for a simulation are more often useful than time-instantaneous snaps…
322 …irection, if physically correct, can help reduce the amount of simulation time needed to get conve…
325 …olds average of $\phi$, which in this case would be a average over the spanwise direction and time:
331 …ze $[0, L_z]$ in the spanwise direction, and $[T_0, T_f]$ is the range of time being averaged over.
378 At the beginning of each simulation, the time integral of a statistic is set to 0, $\overline{\phi}…
382 where $\phi(t_\mathrm{new})$ is the statistic at the current time and $\Delta T$ is the time since …
383 When stats are written out to file, this running sum is then divided by $T_f - T_0$ to get the time…
385 With this method of calculating the running time average, we can plug this into the $L^2$ projectio…
394 As the simulation runs, it takes a running time average of the statistics at the full domain quadra…
398 …, T_f]$, where $T_f$ in this case would be the time the file was written at and $T_0$ is the solut…
619 The problem has a perturbed initial condition and lets it evolve in time. The initial condition con…
641 At time $t=0$, this domain is subjected to freestream boundary conditions at the inflow (left) and …
644 As we evolve in time, eddies appear past the cylinder leading to a vortex shedding known as the vor…