scholarly journals High-order ghost-point immersed boundary method for viscous compressible flows based on summation-by-parts operators

2018 ◽  
Vol 89 (7) ◽  
pp. 256-282 ◽  
Author(s):  
M. Ehsan Khalili ◽  
Martin Larsson ◽  
Bernhard Müller
Keyword(s):  
Immersed Boundary Method ◽  
Compressible Flows ◽  
High Order ◽  
Immersed Boundary ◽  
Summation By Parts ◽  
Boundary Method ◽  
Viscous Compressible Flows

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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