Dynamics of the density discontinuity interface in compressible viscous flows. A transversal contact problem
نویسنده
چکیده
The Navier-Stokes equations for the motion of compressible, viscous flows with the no-slip boundary condition are considered. We study the problem of determining the evolution of the interface of discontinuity of a piece-wise smooth density when the interface is in transversal contact with the boundary of the domain. A unique global solution near a static constant equilibrium is constructed. The solution is shown to preserve the structure of the density and the regularity of the interface.
منابع مشابه
A preconditioned solver for sharp resolution of multiphase flows at all Mach numbers
A preconditioned five-equation two-phase model coupled with an interface sharpening technique is introduced for simulation of a wide range of multiphase flows with both high and low Mach regimes. Harten-Lax-van Leer-Contact (HLLC) Riemann solver is implemented for solving the discretized equations while tangent of hyperbola for interface capturing (THINC) interface sharpening method is applied ...
متن کاملنگاشت همدیس در طرحهای انگشتی سافمن- تیلور
We studied the growth of viscous fingers as a Laplacian growth by conformal mapping. Viscous fingers grow due to Saffman-Taylor instability in the interface between two fluids, when a less viscous fluid pushes a more viscous fluid. As there was an interest in the rectangular Hele-Shaw cell, we solved the Laplacian equation with appropriate boundary conditions by means of conformal mapping tech...
متن کاملA Composite Finite Difference Scheme for Subsonic Transonic Flows (RESEARCH NOTE).
This paper presents a simple and computationally-efficient algorithm for solving steady two-dimensional subsonic and transonic compressible flow over an airfoil. This work uses an interactive viscous-inviscid solution by incorporating the viscous effects in a thin shear-layer. Boundary-layer approximation reduces the Navier-Stokes equations to a parabolic set of coupled, non-linear partial diff...
متن کاملEvaluating the performance of ANSYS-CFX software in simulation the velocity and pressure distributions over circular crested weirs
ANSYS-CFX is an effective and multipurpose software which can be used for simulation the computational fluid dynamics (CFD) solutions at all levels of complexity. This software can be used for numerical solution of two and three dimensional flows, compressible and incompressible flows, viscous and non-viscous flows, laminar and turbulent flows, Newtonian and non-Newtonian flows, porous media, s...
متن کاملLow Mach Number Limit of Viscous Compressible Magnetohydrodynamic Flows
The relationship between the compressible magnetohydrodynamic flows with low Mach number and the incompressible magnetohydrodynamic flows is investigated. More precisely, the convergence of weak solutions of the compressible isentropic viscous magnetohydrodynamic equations to the weak solutions of the incompressible viscous magnetohydrodynamic equations is proved as the density becomes constant...
متن کامل