An immersed boundary-simplified sphere function-based gas kinetic scheme for simulation of 3D incompressible flows

2017 ◽  
Vol 29 (8) ◽  
pp. 083605 ◽  
Author(s):  
L. M. Yang ◽  
C. Shu ◽  
W. M. Yang ◽  
Y. Wang ◽  
J. Wu
Keyword(s):  
Incompressible Flows ◽  
Kinetic Scheme ◽  
Immersed Boundary

scholarly journals An Unstructured Finite Volume Method for Incompressible Flows With Complex Immersed Boundaries

2009 ◽  
Author(s):  
Lin Sun ◽  
Sanjay R. Mathur ◽  
Jayathi Y. Murthy
Keyword(s):  
Finite Volume Method ◽  
Finite Volume ◽  
Incompressible Flows ◽  
Simple Algorithm ◽  
Flow Region ◽  
Solid Material ◽  
The Body ◽  
Immersed Boundary ◽  
Material Points ◽  
Volume Method

A numerical method is developed for solving the 3D, unsteady, incompressible flows with immersed moving solids of arbitrary geometrical complexity. A co-located (non-staggered) finite volume method is employed to solve the Navier-Stokes governing equations for flow region using arbitrary convex polyhedral meshes. The solid region is represented by a set of material points with known position and velocity. Faces in the flow region located in the immediate vicinity of the solid body are marked as immersed boundary (IB) faces. At every instant in time, the influence of the body on the flow is accounted for by reconstructing implicitly the velocity the IB faces from a stencil of fluid cells and solid material points. Specific numerical issues related to the non-staggered formulation are addressed, including the specification of face mass fluxes, and corrections to the continuity equation to ensure overall mass balance. Incorporation of this immersed boundary technique within the framework of the SIMPLE algorithm is described. Canonical test cases of laminar flow around stationary and moving spheres and cylinders are used to verify the implementation. Mesh convergence tests are carried out. The simulation results are shown to agree well with experiments for the case of micro-cantilevers vibrating in a viscous fluid.

Three-Dimensional Hybrid Vortex-Immersed Boundary Method With Application to Passive Flow Control

2015 ◽  
Author(s):  
Chloé Mimeau ◽  
Iraj Mortazavi ◽  
Georges-Henri Cottet
Keyword(s):  
Immersed Boundary Method ◽  
Incompressible Flows ◽  
Three Dimensional ◽  
Flow Dynamics ◽  
Immersed Boundary ◽  
Bluff Bodies ◽  
Passive Flow Control ◽  
Passive Flow ◽  
Model Complex ◽  
Penalization Technique

In this work, a hybrid particle-penalization technique is proposed to achieve accurate and efficient computations of 3D incompressible flows past bluff bodies. This immersed boundary approach indeed maintains the efficiency and the robustness of vortex methods and allows to easily model complex media, like solid-fluid-porous ones, without prescribing any boundary condition. In this paper, the method is applied to implement porous coatings on a hemisphere in order to passively control the flow dynamics.

A directional ghost-cell immersed boundary method for incompressible flows

2020 ◽  
Vol 404 ◽  
pp. 109122 ◽  
Author(s):  
Cheng Chi ◽  
Abouelmagd Abdelsamie ◽  
Dominique Thévenin
Keyword(s):  
Immersed Boundary Method ◽  
Incompressible Flows ◽  
Immersed Boundary ◽  
Ghost Cell ◽  
Boundary Method

SIMULATION OF INCOMPRESSIBLE VISCOUS FLOWS BY BOUNDARY CONDITION-IMPLEMENTED IMMERSED BOUNDARY METHOD

2009 ◽  
Vol 23 (03) ◽  
pp. 345-348
Author(s):  
Q. LI ◽  
C. SHU ◽  
H. Q. CHEN
Keyword(s):  
Immersed Boundary Method ◽  
Incompressible Flows ◽  
Viscous Flows ◽  
Numerical Approach ◽  
Present Approach ◽  
Immersed Boundary ◽  
Solid Boundary ◽  
Local Domain ◽  
Governing Equations ◽  
Boundary Method

A new numerical approach is presented in this work to simulate incompressible flows. The present approach combines the ideas of the conventional immersed boundary method (IBM) for decoupling the solution of governing equations with the solid boundary and the local domain-free discretization (DFD) method for implementation of boundary conditions. Numerical results for simulation of flows around a circular cylinder showed that the present approach can provide accurate solutions effectively.

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