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8 The problem has a perturbed initial condition and lets it evolve in time. The initial condition con…
19 The simulation produces a strong acoustic wave and leaves behind a cold thermal bubble that advects…
22 …ixed using a more sophisticated Riemann solver such as HLLC {cite}`toro2009` (option `-freestream_…
63 A cylinder with diameter $D=1$ is centered at $(0,0)$ in a computational domain $-4.5 \leq x \leq 1…
64 We solve this as a 3D problem with (default) one element in the $z$ direction.
66 The viscosity is 0.01 and thermal conductivity is 14.34 to maintain a Prandtl number of 0.71, which…
70 As we evolve in time, eddies appear past the cylinder leading to a vortex shedding known as the vor…
90 To run this problem, first generate a mesh:
104 …writes a file named `force.csv` (see `ts_monitor_wall_force` in `examples/vortexshedding.yaml`), w…
118 …avier-Stokes equations {eq}`eq-ns`, for which a cold air bubble (of radius $r_c$) drops by convect…
192 The flow is driven by a body force determined analytically from the fluid properties and setup para…
239 …yer example has custom meshing features to better resolve the flow when using a generated box mesh.
241 One of those is tilting the top of the domain, allowing for it to be a outflow boundary condition.
245 There are two methods to do this; algorithmically, or specifying the node locations via a file.
246 Algorithmically, a base node distribution is defined at the inlet (assumed to be $\min(x)$) and the…
248 They are placed such that the element height matches a geometric growth ratio defined by `-platemes…
251 Alternatively, a file may be specified containing the locations of each node.
299 Simulation of a laminar boundary layer flow, with the inflow being prescribed by a [Blasius similar…
302 At the outlet, a user-set pressure is used for pressure in the inviscid flux terms (all other invis…
303 The wall is a no-slip, no-penetration, no-heat flux condition.
304 The top of the domain is treated as an outflow and is tilted at a downward angle to ensure that flo…
364 Simulating a turbulent boundary layer without modeling the turbulence requires resolving the turbul…
365 These structures may be introduced into the simulations either by allowing a laminar boundary layer…
366 The latter approach has been taken here, specifically using a *synthetic turbulence generation* (ST…
394 The coordinate modification is done to transform a given grid onto a domain of $x,y,z \in [0, 2\pi)…
477 This test problem is based on Sod's Shock Tube (from{cite}`sodshocktubewiki`), a canonical test cas…
479 …g a modified version of the $YZ\beta$ operator described in {cite}`tezduyar2007yzb`. This disconti…
497 $\beta$ is a tuning parameter set between 1 (smoother shocks) and 2 (sharper shocks). The parameter…
545 There is a reduced mode in HONEE for pure advection-diffusion, which holds density $\rho$ and momen…
564 …In this case, a background wind with a constant rectilinear velocity field, enters the domain and …
568   This case has a linear velocity profile with only the y component set: $u_y = y / L_y$.
576   These are simple initial conditions with a controllable radius and center point.
582 …This is similar to the bubble ICs, but uses a cosine wave to define the bubble and it's radius is …
587 …This IC features a line discontinuity intersecting the midpoint of the lower edge of the box and i…
593   This either a sine or square wave that oscillates in the direction of advection velocity.
599 …This initial condition features a linear profile in the y direction up to a height set by the user.
601 For the inflow boundary conditions, a prescribed $E_{wind}$ is applied weakly on the inflow boundar…