A Sharp-Interface Immersed Boundary Method for High-Speed Compressible Flows

2020 ◽  
pp. 251-275
Author(s):  
Shuvayan Brahmachary ◽  
Ganesh Natarajan ◽  
Vinayak Kulkarni ◽  
Niranjan Sahoo
Keyword(s):  
Immersed Boundary Method ◽  
High Speed ◽  
Compressible Flows ◽  
Sharp Interface ◽  
Immersed Boundary ◽  
Boundary Method

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.

Role of solution reconstruction in hypersonic viscous computations using a sharp interface immersed boundary method

2021 ◽  
Vol 103 (4) ◽  
Author(s):  
Shuvayan Brahmachary ◽  
Ganesh Natarajan ◽  
Vinayak Kulkarni ◽  
Niranjan Sahoo ◽  
V. Ashok ◽  
...  
Keyword(s):  
Immersed Boundary Method ◽  
Sharp Interface ◽  
Immersed Boundary ◽  
Boundary Method

Immersed boundary method for viscous compressible flows around moving bodies

2018 ◽  
Vol 170 ◽  
pp. 77-92 ◽  
Author(s):  
M. Ehsan Khalili ◽  
Martin Larsson ◽  
Bernhard Müller
Keyword(s):  
Immersed Boundary Method ◽  
Compressible Flows ◽  
Immersed Boundary ◽  
Boundary Method ◽  
Viscous Compressible Flows ◽  
Moving Bodies
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