Convex limiting solution of two dimensional
supersonic Mach 3 flow around circular cylinder.
The solution satisfies all invariant domain
properties of the compressible flow. 366746 P1
finite element nodes are used in the simulation.
Schlieren diagram of the density is plotted.
2D explosion in a closed circle with cylinders inside
Entropy viscosity solution of two dimensional
explosion test, using 1.5 millions P2 finite element
nodes, which gives about 6 millions degrees of
freedom. Schlieren diagram of the density is
plotted.
Mach 10 Double Mach Reflection
2D computation of the Euler equations using Entropy Viscosity.
3rd order strong stability preserving Runge Kutta method used for
the time discretization.
~1.3 million degrees of freedom, unstructured mesh, FEM solution with P2 elements.
2D Wind Tunnel with a Cylinder
2D computation of the Euler equations using Entropy Viscosity.
3rd order strong stability preserving Runge Kutta method used for
the time discretization.
Color bar of density (left) and entropy viscosity magnitude (right).
For more information see the Computational Technology Laboratory.
~200K unstructured mesh points, FEM solution with P1 elements.
Mach 3 Supersonic Flow over a Forward-facing Step
Compressible Euler simulation using Entropy Viscosity.
Color bar of density (top) and entropy viscosity (bottom).
240K unstructured mesh points, FEM solution with P1 elements.
Shock-bubble interaction, Ms = 1.6475
Compressible Euler simulation using Entropy Viscosity.
Color bar of density (top) and entropy viscosity magnitude (bottom).
~500K unstructured mesh points, FEM solution with P1 elements.
Shock Mach number Ms = 1.6475.
Shock-bubble interaction, Ms = 2.952
Compressible Euler simulation using Entropy Viscosity.
Color bar of density (top) and entropy viscosity magnitude (bottom).
~500K unstructured mesh points, FEM solution with P1 elements.
Shock Mach number Ms = 2.952.
Numerical solution of 2D Riemann problem of Compressible Euler Equations
Compressible Euler simulation using artificial residual based
viscosity. 2D Riemann problem with low density
inside the rhombus:
.
Color bar of density. For more information see the Computational
Technology Laboratory. 640K unstructured mesh points,
FEM solution with P1 elements.
Numerical solution of 2D Riemann problem of Compressible Euler Equations
Compressible Euler simulation using artificial residual based
viscosity. 2D Riemann problem with low density
inside the rhombus:
.
Color bar of density. For more information see the Computational
Technology Laboratory. 640K unstructured mesh points,
FEM solution with P1 elements.
Incompressible flow
Variable density incompressible flow, Lock-Exchange Problem.
Density, vorticity and artificial viscosity
T=20, 640x80 P1 mesh points, residual viscosity
ILES of Turbulent Flow around a Volvo Car
Implicit Large Eddy Simulation. The incompressible Navier-Stokes
equations is computed by a residual based streamline diffusion
stabilization, G2. Streamlines and magnitude of velocity for
FEM solution with P1 elements for flow around a Volvo car with turbulent wake.
The implicit Cranck-Nicolson method is used for the time discretisation.
~100K unstructured mesh points
Multiphase flow
3D Isotropic dendritic growth of solidification of water
Isotropic dendritic growth using XFEM phase field method. Time t=0.09, the final mesh has 718246 P1 elements.
3D Anisotropic dendritic growth of solidification of a metal
Anisotropic dendritic growth using XFEM phase field method. Time t=0.083, the final mesh has 1115838 P1 elements.