|Ph.D Student||Haimovitz Ory|
|Subject||High-Order Numerical Simulations of Compressible|
Multicomponent and Multiphase Flow Using a
Targeted ENO (TENO) Finite-Volume Method
|Department||Department of Mechanical Engineering||Supervisor||Professor Steven Howard Frankel|
|Full Thesis text|
Multicomponent and multiphase compressible flows are widely found in science and
engineering such as astrophysics, combustion, explosions, detonations, nuclear reactors, and underwater projectiles. These flows involve highly distorted interfaces and often feature interactions between shock waves and bubbles related to cavitation.
The challenge in high-fidelity numerical simulation of such flows is to accurately
resolve small scale features while simultaneously providing targeted dissipation to
avoid spurious oscillations associated with capturing shocks and sharp interfaces
In this research, we have developed and applied a new high-order finite-volume
code to numerically solve the inviscid six equation formulation for multicomponent
and multiphase flow using a combination of Gauss-Legendre quadrature, the recently published targeted ENO scheme for spatial reconstruction of primitive variables, the modified HLLC approximate Riemann solver suitable, and a third-order TVD Runge-Kutta for explicit time advancement.
Results using a fifth-order version of the scheme are presented for a number of
benchmark problems, including the 1D cavitation and water-air shock tube problem,
2D shock-bubble interaction problems featuring both the Kelvin-Helmholtz
and Richtmeyer-Meshkov instabilities with qualitative comparison to experimental
Schlieren and a comparative study of various WENO reconstruction schemes. The
effect of both initial shock strength and initial bubble density uncertainties on the
flow, is also investigated following Non-Intrusive Polynomial Chaos method.
The interaction of a planar shock wave with a three-dimensional cube-shaped
sulphur hexafluoride, SF6, bubble is also numerically studied. We study and quantify
the contribution of baroclinic, dilatation and stretching vorticity components on the
flow dynamics. We also observe the phenomena of axis switching of the bubble
along time. The formation of irregular refraction patterns and the effect on the flow
dynamics in this case is also investigated.