Flow Around a Cylinder
Benchmark problem for stationary, laminar, and incompressible flow around a cylinder. Although it is not possible to derive an analytical solution to this test case, very accurate numerical solutions to benchmark reference quantities have been established for the pressure difference, drag, and lift coefficient [1],[2]. …
Flow in Driven Cavity
Stationary and laminar incompressible flow in a square cavity (Reynolds number, Re = 1000). The top of the cavity is prescribed a tangential velocity while the sides and bottom are defined as no-slip zero velocity walls. This model is available as an automated tutorial by selecting Model Examples and Tutorials… …
Flow Over a Backwards Facing Step
Flow over a backwards facing step is a classic computational fluid dynamics test problem which is used extensively for validation of simulation codes. The test problem essentially consists of studying how a fully developed flow profile reacts to a sudden expansion in a channel. The expansion will cause a break in the …
Laminar Channel Flow
Stationary and incompressible laminar Poiseuille flow in a two- dimensional rectangular channel. With a constant inflow profile u(0,y) = Umax and fixed no-slip walls, a fully developed laminar parabolic profile, u(y,L) = Umax4/h2y(h-y) is expected to develop at the outflow. This model is available as an automated …
Poisson Equation
The classic Poisson equation is one of the most fundamental partial differential equations (PDEs). Although one of the simplest equations, it is a very good model for the process of diffusion and comes up in many applications (for example fluid flow, heat transfer, and chemical transport). It is therefore fundamental …
Poisson Equation with a Point Source
The classic Poisson equation is one of the most fundamental partial differential equations (PDEs). Although one of the simplest equations, it is a very good model for the process of diffusion and comes up again and again in many applications such as in fluid flow, heat transfer, and chemical transport. This example …
Resonance Frequencies of a Room
This example studies the resonance frequencies of an empty room by using the Helmholtz equation for the time-harmonic pressure field Δp + k2p = 0 The resulting eigenmodes can be compared to and validated against the analytical solution for the resonance frequencies of a boxed enclosure, that is f = c/2*√( (i/lx)2 …
Stress Analysis of a Thick Plate
This is a benchmark and validation model for linear elasticity where an elliptical thick plate with a hole is subjected to a uniform pressure load of 106 MPa [1]. The outer surface is assumed to be constrained from expansion, in addition to the center line which is fixed in the z-direction. Symmetry is also utilized so …
Supersonic Flow Over an Obstacle
Steady inviscid flow over a cylindrical bump using the compressible Euler equations. The flow at the inlet is supersonic with Ma = 1.4 resulting in a series of reflected shock waves as the flow hits the obstacle]. The obstacle could represent anything from a protrusion on an aircraft wing to a structural feature in a …
Transient Heat Diffusion in a Rod
This example is a classic one-dimensional transient heat diffusion problem where a solid rod of unit length is kept at fixed temperature at the right end, T = 25, and losing heat from a constant outward heat flux qn = 1 at the other end. After the simulation the computed results can be compared with the analytic …