Murtazo Nazarov

 

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Compressible flow

Supersonic Mach 3 flow
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.

 

©2017 Murtazo Nazarov