Partially liquefied vitreous humor is a common physical and biochemical degenerative change in vitreous body which the liquid component gets separated from collagen fiber network and leads to form a region of liquefaction. The main objective of this research is to investigate how the oscillatory motions influence flow dynamics of partial vitreous liquefaction (PVL). So far computational fluid d...

The generalized Riemann problem (GRP) scheme for the Euler equations and gaskinetic scheme (GKS) for the Boltzmann equation are two high resolution shock capturing schemes for fluid simulations. The difference is that one is based on the characteristics of the inviscid Euler equations and their wave interactions, and the other is based on the particle transport and collisions. The similarity be...

The Fictitious Gas Concept supports some computational design methods to construct shock-free transonic flows. It was originally developed for potential flows, here it is introduced to the Euler equations for more general applications. A new equation of state needs to be defined in order to simulate results of the simpler potential approach. An operational numerical Euler code was chosen for th...

In this paper, optimal distributed control of the time-dependent Navier-Stokes equations is considered. The control problem involves the minimization of a measure of the distance between the velocity field and a given target velocity field. A mixed numerical method involving a quasi-Newton algorithm, a novel calculation of the gradients and an inhomogeneous Navier-Stokes solver, to find the opt...

Abstract. In this work, we study the unsteady axisymmetric mixed convection boundary layer flow and heat transfer of non-Newtonian power law fluid over a cylinder. Different from most classical works, the temperature dependent variable fluid viscosity and thermal conductivity are taken into account in highly coupled velocity and temperature fields. The motion of the fluid can be modeled by a ti...

We present a space-time hierarchical solution concept for optimization problems governed by the time-dependent Stokes– and Navier–Stokes system. Discretisation is carried out with finite elements in space and a one-step-θ-scheme in time. By combining a Newton solver for the treatment of the nonlinearity with a space-time multigrid solver for linear subproblems, we obtain a robust solver whose c...

This paper presents an Euler and boundary-layer method capable of unsteady flow and aeroelastic simulations. An integral boundary-layer solver is coupled with an Euler solver in a “semi-inverse” manner. For the inviscid part, approximate wall boundaryconditions are implemented on non-moving mean chord positions, whereas the full nonlinear Euler equation is solved in the field for accurate resol...

The objective of this study is to develop a flow solver that can be used by aerodynamic design environments to analyze a variety of candidate designs in a relatively short period of time. To meet this goal, a combination of flow solvers developed by the second author, AIRPLANE and FLO77, which are well known for their robustness and accuracy, was parallelized. These flow solvers use unstructure...

high-resolution time conservative two dimensional flow solver has been developed and validated for inviscid and viscous flows. The method is based on a multiblock structured grid. The space-time conservation element and solution element discretization scheme, second-order in space and time, is employed. Several cases with a wide range of flow conditions have been computed to verify the accuracy...