Combined adaptive meshing technique and characteristic-based split algorithm for viscous incompressible flow analysis

Abstract

A combined characteristic-based split algorithm and an adaptive meshing technique for analyzing two-dimensional viscous incompressible flow are presented. The method uses the three-node triangular element with equal-order interpolation functions for all variables of the velocity components and pressure. The main advantage of the combined method is that it improves the solution accuracy by coupling an error estimation procedure to an adaptive meshing technique that generates small elements in regions with a large change in solution gradients, and at the same time, larger elements in the other regions. The performance of the combined procedure is evaluated by analyzing one test case of the flow past a cylinder, for their transient and steady-state flow behaviors.

Solution of a low Prandtl number natural convection benchmark by a local meshless method

“…However, the proposed approach retains the correct time transient which is not the case in SOLA and ACM approaches. The free fluid flow situations have been tackled by ACM in (Traivivatana, et al, 2007) and the flow in porous media in (Malan and Lewis, 2011). In the present paper we are particularly interested in proper transient response of the computations.…”

3-D Numerical Simulation of Heat Transfer in Biomedical Applications

“…However, the SIMPLE algorithm demands the solution of the global system, which is complex from parallel implementation point of view. There are local alternatives, like the Local Pressure Velocity Coupling (LVPC) used in context with local meshless methods (Kosec and Šarler, 2008a), the artificial compressibility method (ACM), which has been recently under intense research (Malan and Lewis, 2011, Rahman and Siikonen, 2008, Traivivatana, et al, 2007, and the framework for the Finite Difference Method in the SOLA approach (Hong, 2004). In this chapter, the more standard and well accepted pressure velocity coupling, based on the SIMPLE algorithm, is used.…”

Assessment of two pressure-velocity coupling strategies for local meshless numerical method

“…After successful pressurevelocity iteration, the algorithm continues with the next time step. The LPVC approach is similar to the artificial compressibility method (ACM), which has been recently under intense research in connection with Finite Volume Method [26,27] and in connection with Finite Element Method [28]. A similar approach, in the framework of the FDM, is SOLA algorithm [29].…”