We study the use of a GPU for the numerical approximation of the curvature dependent flows of graphs – the mean-curvature flow and the Willmore flow. Both problems are often applied in image processing where fast solvers are required. We approximate these problems using the complementary finite volume method combined with the method of lines. We obtain a system of ordinary differential equation...

In this paper, we report an extension of the Space-time Conservation Element-Solution Element (CE/SE) framework based viscous flow solver. The formulation of the Courant Number Insensitive Scheme (CNIS) is explained. The developed solver is validated through simulation of 2-D problems, such as, driven cavity, and external flow over a circular cylinder. Verifications are also conducted to study ...

The aim of this paper is to develop a new two dimensional time accurate Euler solver for shock tube applications. The solver was developed to study the performance of a newly built short-duration hypersonic test facility at Universiti Tenaga Nasional “UNITEN” in Malaysia. The facility has been designed, built, and commissioned for different values of diaphragm pressure ratios in order to get wi...

Abstract In this paper, we extend the unified gas-kinetic wave-particle (UGKWP) methods to multi-species gas mixture and multiscale plasma transport. The construction of scheme is based on direct modeling mesh size time step scales, local cell’s Knudsen number determines flow physics. proposed has asymptotic complexity diminishing properties. property means that according can capture non-equili...

However it is possible to use of numerical methods such as beta-Newmark in order to investigate the structural response behavior of the dynamic systems under random sea wave loads but because of necessity to analysis the offshore systems for extensive time to fatigue study it is important to use of simple stable methods for numerical integration. The modified Euler method (MEM) is a simple nume...

A multiblock structured grid solver for 3D Euler/Navier-Stokes equations is developed in this study. The employs the finite difference method together with lower-upper factored scheme to provide fast solutions, while use of grids allows algorithm be applied complex geometries. then tested on a "body-only" axisymmetric model single-engine fighter aft-end which was previously investigated experim...

The computation of compressible flows becomes more challenging when the Mach number has different orders of magnitude. When the Mach number is of order one, modern shock capturing methods are able to capture shocks and other complex structures with high numerical resolutions. However, if the Mach number is small, the acoustic waves lead to stiffness in time and excessively large numerical visco...

 Abstract—The cylindrically converging shock wave was numerically simulated by solving the Euler equations in cylindrical coordinates with TVD scheme and MUSCL [1] approach, using Roe's approximate Riemann solver [2] and super-bee nonlinear limiter [3]. The present study used the in house code developed for this purpose. The behavior of the solution in the vicinity of axis is investigated and ...

In this paper we first briefly review the semi-analytical method [20] for solving the Derivative Riemann Problem for systems of hyperbolic conservation laws with source terms. Next, we generalize it to hyperbolic systems for which the Riemann problem solution is not available. As an application example we implement the new derivative Riemann solver in the high-order finite-volume ADER advection...

Effects of the time-variant flow in a single-blade pump are investigated by numerical and experimental methods. For a numerical approach the three-dimensional, viscous, unsteady flow field in the pump has been achieved by solving the unsteady Navier-Stokes equations (URANS) with a commercial solver. From the obtained periodic flow field the time-variant forces acting at the wetted impeller surf...