Abstract
The mesh deformation method based on radial basis functions is widely used in computational fluid dynamics (CFD) simulation with a moving boundary. The traditional method for generating CFD mesh quality metrics called mesh-based metrics use the information of deformed mesh with specific element node coordinates and a connectivity relationship. This paper develops a new mesh quality, metric evaluating method based on the mapping process between the initial and deformed mesh, which is named mapping-based metrics. Mapping-based metrics are evaluated based on the conception of the deformation principle in continuum mechanics. This method provides a new point for mesh quality evaluation without requirements of deformed mesh coordinates and element connectivity information. Three test cases show that, comparing with indirectly solving by a geometrical method, mapping-based metrics accurately reveal the changes of the angle and area over the whole deformed domain. Additionally, the mapping-based metrics give high applicability to the quality of deformed mesh compared to mesh-based metrics. The quality evaluation method for CFD mesh proposed in this paper is effective.
Highlights
For computational fluid dynamics (CFD) computations and fluid-structure interaction (FSI) computations, a flows simulation with a moving boundary are often encountered at various important problems such as stability analysis of bridges, aircraft optimizations, flutter calculations, and bioengineering simulations [1,2,3,4,5]
The idea of the spring analogy method is to create a network of springs connecting all nodes in the mesh and the stiffness of springs is inversely proportional to the edge length [12]
It has been successfully applied to many unsteady and optimization problems. This method is relatively expensive in computational cost due to the necessity of total mesh connectivity information, and it may lead to an invalid mesh for large deformation [13,14]
Summary
For computational fluid dynamics (CFD) computations and fluid-structure interaction (FSI) computations, a flows simulation with a moving boundary are often encountered at various important problems such as stability analysis of bridges, aircraft optimizations, flutter calculations, and bioengineering simulations [1,2,3,4,5]. With regards to the problems with large deformation of boundary, performance of mesh deformation methods often becomes a limiting factor to CFD simulations accuracy [6]. It has been successfully applied to many unsteady and optimization problems This method is relatively expensive in computational cost due to the necessity of total mesh connectivity information, and it may lead to an invalid mesh for large deformation [13,14]. In the other classification of the node-based method, each node can be modified independently to its adjacent nodes, and the deformation of mesh can be adjusted indiscriminately [12] This method allows for large deformation and does not require connectivity information between mesh nodes. The common node-based methods increase the efficiency of generation of adapted mesh, it does not perform well with complex mesh and is not capable of preserving the mesh orthogonality
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