An immersed boundary method for simulation of inviscid compressible flows

2014 ◽  
Vol 74 (11) ◽  
pp. 775-793 ◽  
Author(s):  
Y. Zhang ◽  
C. H. Zhou
Keyword(s):  
Immersed Boundary Method ◽  
Compressible Flows ◽  
Immersed Boundary ◽  
Boundary Method ◽  
Inviscid Compressible Flows

scholarly journals A Sharp-Interface Immersed Boundary Method for Simulating High-Speed Compressible Inviscid Flows

2020 ◽  
Author(s):  
Junjie Wang ◽  
Xiangyu Gu ◽  
Jie Wu
Keyword(s):  
Boundary Conditions ◽  
Immersed Boundary Method ◽  
High Speed ◽  
Compressible Flows ◽  
Wall Slip ◽  
Sharp Interface ◽  
Immersed Boundary ◽  
Boundary Method ◽  
Lift Off ◽  
Inviscid Compressible Flows

Abstract This paper presents a robust sharp-interface immersed boundary method for simulating inviscid compressible flows over stationary and moving bodies. The flow field is governed by Euler equations, which are solved by using the open source library OpenFOAM. Discontinuities such as those introduced by shock waves are captured by using Kurganov and Tadmor divergence scheme. Wall-slip boundary conditions are enforced at the boundary of body through reconstructing flow variables at some ghost points. Their values are obtained indirectly by interpolating from their mirror points. A bilinear interpolation is employed to determine the variables at the mirror points from boundary conditions and flow conditions around the boundary. To validate the efficiency and accuracy of this method for simulation of high-speed inviscid compressible flows, four cases have been simulated as follows: supersonic flow over a 15 angle wedge, transonic flow past a stationary airfoil, a piston moving with supersonic velocity in a shock tube and a rigid circular cylinder lift-off from a flat surface triggered by a shock wave. Compared to the exact analytical solutions or the results in literature, good agreement can be achieved.

scholarly journals A sharp-interface immersed boundary method for simulating high-speed compressible inviscid flows

2020 ◽  
Vol 2 (1) ◽  
Author(s):  
Junjie Wang ◽  
Xiangyu Gu ◽  
Jie Wu
Keyword(s):  
Boundary Conditions ◽  
Immersed Boundary Method ◽  
High Speed ◽  
Compressible Flows ◽  
Wall Slip ◽  
Sharp Interface ◽  
Immersed Boundary ◽  
Boundary Method ◽  
Lift Off ◽  
Inviscid Compressible Flows

Abstract This paper presents a robust sharp-interface immersed boundary method for simulating inviscid compressible flows over stationary and moving bodies. The flow field is governed by Euler equations, which are solved by using the open source library OpenFOAM. Discontinuities such as those introduced by shock waves are captured by using Kurganov and Tadmor divergence scheme. Wall-slip boundary conditions are enforced at the boundary of body through reconstructing flow variables at some ghost points. Their values are obtained indirectly by interpolating from their mirror points. A bilinear interpolation is employed to determine the variables at the mirror points from boundary conditions and flow conditions around the boundary. To validate the efficiency and accuracy of this method for simulation of high-speed inviscid compressible flows, four cases have been simulated as follows: supersonic flow over a 15 ° angle wedge, transonic flow past a stationary airfoil, a piston moving with supersonic velocity in a shock tube and a rigid circular cylinder lift-off from a flat surface triggered by a shock wave. Compared to the exact analytical solutions or the results in literature, good agreement can be achieved.

scholarly journals A Sharp-Interface Immersed Boundary Method for Simulating High-Speed Compressible Inviscid Flows

2020 ◽  
Author(s):  
Junjie Wang ◽  
Xiangyu Gu ◽  
Jie Wu
Keyword(s):  
Boundary Conditions ◽  
Immersed Boundary Method ◽  
High Speed ◽  
Compressible Flows ◽  
Wall Slip ◽  
Sharp Interface ◽  
Immersed Boundary ◽  
Boundary Method ◽  
Lift Off ◽  
Inviscid Compressible Flows

Abstract This paper presents a robust sharp-interface immersed boundary method for simulating inviscid compressible flows over stationary and moving bodies. The flow field is governed by Euler equations, which are solved by using the open source library OpenFOAM. Discontinuities such as those introduced by shock waves are captured by using Kurganov and Tadmor divergence scheme. Wall-slip boundary conditions are enforced at the boundary of body through reconstructing flow variables at some ghost points. Their values are obtained indirectly by interpolating from their mirror points. A bilinear interpolation is employed to determine the variables at the mirror points from boundary conditions and flow conditions around the boundary. To validate the efficiency and accuracy of this method for simulation of high-speed inviscid compressible flows, four cases have been simulated as follows: supersonic flow over a 15\(^\circ\) angle wedge, transonic flow past a stationary airfoil, a piston moving with supersonic velocity in a shock tube and a rigid circular cylinder lift-off from a flat surface triggered by a shock wave. Compared to the exact analytical solutions or the results in literature, good agreement can be achieved.

An Immersed Boundary Method for Compressible Flows with Complex Boundaries

2013 ◽  
Vol 477-478 ◽  
pp. 281-284
Author(s):  
Jie Yang ◽  
Song Ping Wu
Keyword(s):  
Immersed Boundary Method ◽  
Compressible Flows ◽  
Stokes Equations ◽  
Splitting Method ◽  
Linear Interpolation ◽  
High Order Accuracy ◽  
Navier Stokes ◽  
Immersed Boundary ◽  
Central Difference ◽  
Boundary Method

An immersed boundary method based on the ghost-cell approach is presented in this paper. The compressible Navier-Stokes equations are discretized using a flux-splitting method for inviscid fluxes and second-order central-difference for the viscous components. High-order accuracy is achieved by using weighted essentially non-oscillatory (WENO) and Runge-Kutta schemes. Boundary conditions are reconstructed by a serial of linear interpolation and inverse distance weighting interpolation of flow variables in fluid domain. Two classic flow problems (flow over a circular cylinder, and a NACA 0012 airfoil) are simulated using the present immersed boundary method, and the predictions show good agreement with previous computational results.

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