A two-dimensional, time-accurate, homogeneous multiphase, preconditioned Navier-Stokes method is applied to solve steady and unsteady cavitating laminar flows over 2D hydrofoils. A cell-centered finite-volume scheme employing the suitable dissipation terms to account for density jumps across the cavity interface is shown to yield an effective method for solving the multiphase Navier-Stokes equa...

Surface oil flow is an experimental flow visualization technique that depicts the surface flow pattern near the body of the model. Traditionally, a particle tracking technique that generates streamlines near the model body is used to depict surface flows in CFD flow simulations. In this paper, we compared surface flows represented by streamlines with those represented by a texture technique kno...

The unsteady force on particles in viscous compressible flows is studied. Based on earlier work by Parmar et al. (Phil. Trans. Roy. Soc. A, 366, 2161-2175, 2008) on the behavior of the unsteady force on particles in inviscid compressible flows, a simple model for the unsteady force at finite Mach and Reynolds numbers is proposed. This model involves a composite kernel that consists of the addit...

A bridge is built between projection methods and SIMPLE type methods (Semi-Implicit Method for Pressure-Linked Equation). A general second-order accurate projection method is developed for the simulation of incompressible unsteady flows by employing a non-linear update of pressure term as n∇ pn+1 + (I − n)∇ pn , where n is a coefficient matrix, which may depend on the grid size, time step and e...

This paper presents an adjoint method for the optimal control of unsteady flows. The goal is to develop the continuous and discrete unsteady adjoint equations and their corresponding boundary conditions for the timeaccuratemethod. First, this paper presents the complete formulation of the time-dependent optimal design problem. Second, we present the time-accurate unsteady continuous and discret...

This paper presents an adjoint method for the optimal control of unsteady flows. The goal is to develop the continuous and discrete unsteady adjoint equations and their corresponding boundary conditions for the time accurate method. First, this paper presents the complete formulation of the time dependent optimal design problem. Second, we present the time accurate unsteady continuous and discr...