טכניון מכון טכנולוגי לישראל
הטכניון מכון טכנולוגי לישראל - בית הספר ללימודי מוסמכים  
Ph.D Thesis
Ph.D StudentHaimovitz Ory
SubjectHigh-Order Numerical Simulations of Compressible
Multicomponent and Multiphase Flow Using a
Targeted ENO (TENO) Finite-Volume Method
DepartmentDepartment of Mechanical Engineering
Supervisor Professor Frankel Steven Howard
Full Thesis textFull thesis text - English Version


Abstract

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.