An Immersed Boundary Geometric Preprocessor for Arbitrarily Complex Terrain and Geometry

AbstractThere is a growing interest to apply the immersed boundary method to compute wind fields over arbitrarily complex terrain. The computer implementation of an immersed boundary module into an existing flow solver can be accomplished with minor modifications to the rest of the computer program. However, a versatile preprocessor is needed at the first place to extract the essential geometric information pertinent to the immersion of an arbitrarily complex terrain inside a 3D Cartesian mesh. Errors in the geometric information can negatively impact the correct implementation of the immersed boundary method as part of the solution algorithm. Additionally, the distance field from the terrain is needed to implement various subgrid-scale turbulence models and to initialize wind fields over complex terrain. Despite the popularity of the immersed boundary method, procedures used in the geometric preprocessing stage have received less attention. The present study found that concave and convex regions of compl...

[1]  J. Lundquist,et al.  An Immersed Boundary Method Enabling Large-Eddy Simulations of Flow over Complex Terrain in the WRF Model , 2012 .

[2]  Jung Il Choi,et al.  An immersed boundary method for complex incompressible flows , 2007, J. Comput. Phys..

[3]  Inanc Senocak,et al.  Toward a GPU-Accelerated Immersed Boundary Method for Wind Forecasting Over Complex Terrain , 2012 .

[4]  Rajat Mittal,et al.  A versatile sharp interface immersed boundary method for incompressible flows with complex boundaries , 2008, J. Comput. Phys..

[5]  Immersed boundary methods for heat transfer , 2016 .

[6]  F. Sotiropoulos,et al.  A hybrid Cartesian/immersed boundary method for simulating flows with 3D, geometrically complex, moving bodies , 2005 .

[7]  C. Peskin Flow patterns around heart valves: A numerical method , 1972 .

[8]  James A. Sethian,et al.  Level Set Methods and Fast Marching Methods: Evolving Interfaces in Computational Geometry, Fluid , 2012 .

[9]  Ronald Fedkiw,et al.  Level set methods and dynamic implicit surfaces , 2002, Applied mathematical sciences.

[10]  Robert Bridson,et al.  Fluid Simulation for Computer Graphics , 2008 .

[11]  F. Sotiropoulos,et al.  High-resolution numerical simulation of turbulence in natural waterways , 2011 .

[12]  J. Lundquist,et al.  An Immersed Boundary Method for the Weather Research and Forecasting Model , 2014 .

[13]  Joseph O'Rourke,et al.  Computational Geometry in C. , 1995 .

[14]  Nagi N. Mansour,et al.  Topography Modeling in Atmospheric Flows Using the Immersed Boundary Method , 2004 .

[15]  R. Verzicco,et al.  Combined Immersed-Boundary Finite-Difference Methods for Three-Dimensional Complex Flow Simulations , 2000 .

[16]  Hongkai Zhao,et al.  A fast sweeping method for Eikonal equations , 2004, Math. Comput..

[17]  David Gur,et al.  An automated CT based lung nodule detection scheme using geometric analysis of signed distance field. , 2008, Medical physics.