CutFEM topology optimization of 3D laminar incompressible flow problems

CutFEM topology optimization of 3D laminar incompressible flow problems

This paper studies the characteristics and applicability of the CutFEM approach [1] as the core of a robust topology optimization framework for 3D laminar incompressible flow and species transport problems at low Reynolds number (Re < 200). CutFEM is a methodology for discretizing partial differential equations on complex geometries by immersed boundary techniques. In this study, the geometry o...

The Solution of Laminar Incompressible Flow Equation with Free Surfaces in Curvilinear Coordinates

In this paper a novel numerical approach is presented for solving the transient incompressible fluid flow problems with free surfaces in generalized two-dimensional curvilinear coordinate systems. Solution algorithm is a combination of implicit real-time steps and explicit pseudo-time steps. Governing fluid flow equations are discretized using a collocated finite-volume mesh. Convective terms a...

The Solution of Laminar Incompressible Flow Equation with Free Surfaces in Curvilinear Coordinates

In this paper a novel numerical approach is presented for solving the transient incompressible fluid flow problems with free surfaces in generalized two-dimensional curvilinear coordinate systems. Solution algorithm is a combination of implicit real-time steps and explicit pseudo-time steps. Governing fluid flow equations are discretized using a collocated finite-volume mesh. Convective terms a...

Numerical Simulation of the Incompressible Laminar Flow Over a Square Cylinder

Simulation of fluid flow over a square cylinder can be performed in order to understand the physics of the flow over bluff bodies. In the current study, incompressible laminar flow over a confined square cylinder, with variable blockage factor has been simulated numerically, using computational fluid dynamics (CFD). The focus has been on vortex-induced vibration (VIV) of the cylinder. Vorticity...

The Variational Multiscale Method for Laminar and Turbulent Incompressible Flow