A versatile embedded boundary adaptive mesh method for compressible flow in complex geometry
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Al-Marouf, Mohamad
Samtaney, Ravi

KAUST Department
Fluid and Plasma Simulation Group (FPS)Mechanical Engineering Program
Physical Science and Engineering (PSE) Division
KAUST Grant Number
URF/1/1394-01Date
2017-02-25Online Publication Date
2017-02-25Print Publication Date
2017-05Permanent link to this record
http://hdl.handle.net/10754/622955
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We present an embedded ghost-fluid method for numerical solutions of the compressible Navier Stokes (CNS) equations in arbitrary complex domains. A PDE multidimensional extrapolation approach is used to reconstruct the solution in the ghost-fluid regions and imposing boundary conditions on the fluid-solid interface, coupled with a multi-dimensional algebraic interpolation for freshly cleared cells. The CNS equations are numerically solved by the second order multidimensional upwind method. Block-structured adaptive mesh refinement, implemented with the Chombo framework, is utilized to reduce the computational cost while keeping high resolution mesh around the embedded boundary and regions of high gradient solutions. The versatility of the method is demonstrated via several numerical examples, in both static and moving geometry, ranging from low Mach number nearly incompressible flows to supersonic flows. Our simulation results are extensively verified against other numerical results and validated against available experimental results where applicable. The significance and advantages of our implementation, which revolve around balancing between the solution accuracy and implementation difficulties, are briefly discussed as well.Citation
Al-Marouf M, Samtaney R (2017) A versatile embedded boundary adaptive mesh method for compressible flow in complex geometry. Journal of Computational Physics. Available: http://dx.doi.org/10.1016/j.jcp.2017.02.044.Sponsors
This research was supported by the KAUST Office of Competitive Research Funds under Award No. URF/1/1394-01. The Cray XC40, Shaheen II, at KAUST was utilized for some of the simulations. We thank Dr. Narsimha Rapaka for his assistance in computing the three-dimensional cases on Shaheen II.Publisher
Elsevier BVJournal
Journal of Computational PhysicsAdditional Links
http://www.sciencedirect.com/science/article/pii/S002199911730147Xae974a485f413a2113503eed53cd6c53
10.1016/j.jcp.2017.02.044