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Local Inverse Mapping Implicit Hole-Cutting Method for Structured Cartesian Overset Grid Assembly.

Jingyuan Wang1, Feng Wu2, Quanyong Xu3

  • 1State Key Laboratory of HydroScience and Engineering, Department of Energy and Power Engineering, Tsinghua University, Beijing 100084, China.

Entropy (Basel, Switzerland)
|March 29, 2023
PubMed
Summary
This summary is machine-generated.

A new Local Inverse Mapping (LIM) method automatically cuts holes in overset grids for fluid dynamics simulations. This efficient technique significantly reduces computational time for complex flow fields involving moving bodies.

Keywords:
X-ray methodcoordinate transformationimplicit hole-cuttinglocal inverse mappingnavier-stokes partial differential equationsoverset grid assemblystructured cartesian mesh

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Area of Science:

  • Computational Fluid Dynamics
  • Numerical Methods
  • Mesh Generation

Background:

  • Overset grids are crucial for simulating complex geometries and moving boundaries in fluid dynamics.
  • Traditional methods for overset grid assembly can be computationally expensive, particularly the hole-cutting process.
  • Accurate transfer of information between overlapping meshes is essential for simulation fidelity.

Purpose of the Study:

  • To develop an automatic and efficient hole-cutting method for overset grid assembly.
  • To improve the computational efficiency of simulating unsteady flow fields with moving bodies.
  • To ensure accurate data transfer between Cartesian and body-fitted meshes.

Main Methods:

  • Proposed the Local Inverse Mapping (LIM) method for automatic hole-cutting in overset grids.
  • Utilized spatial interpolation of flux to transfer boundary information from body-fitted to Cartesian meshes.
  • Employed relative coordinate transformation to identify and mark Cartesian nodes within donor cells.
  • Integrated the LIM method with an in-house finite-difference solver for unsteady flow simulations.

Main Results:

  • The LIM method accurately identifies Cartesian hole boundary nodes.
  • Achieved high efficiency in searching for donor cells.
  • Demonstrated accurate spatial interpolation of flux.
  • Reduced the overset grid assembly calculation time to less than 3% of the total simulation time.

Conclusions:

  • The Local Inverse Mapping (LIM) method provides an accurate and efficient solution for hole-cutting in overset grid generation.
  • The LIM method significantly enhances the computational performance of fluid dynamics simulations involving moving bodies.
  • This approach facilitates more streamlined and faster simulations of complex unsteady flow phenomena.