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Nodal Based Mappings Between Finite Element Meshes

机译:有限元网格之间基于节点的映射

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Due to the demands on mathematical models that simulate physical properties and behaviors of automotive components, different finite element meshes often partition the same component for each disparate simulation. Commercial packages that transfer mesh dependent results from one finite element analysis to initialize another typically use a variation of a specific nodal based mapping. The simplicity and ease of implementation make this mapping very attractive. In its simplest form, the mapping first assigns a node in the analyzed model the average value of the elements that share the node. A node in the unanalyzed mesh receives its value from the closest node in the analyzed mesh. Nodal based interpolants on the new element initialize elemental values. When an element in the unanalyzed mesh requires a constant value such as its thickness, the element receives the average value at the nodes that define the element. This brief paper documents some undesirable characteristics of this nodal based transfer of material properties from one mesh to another.
机译:由于需要模拟汽车零部件物理特性和行为的数学模型,因此对于每个不同的模拟,不同的有限元网格通常会将同一零部件分区。从一个有限元分析传递网格相关结果以初始化另一个有限元分析的商业软件包通常会使用基于特定节点的映射的变体。实现的简单性和易用性使此映射非常有吸引力。映射以其最简单的形式首先为所分析的模型中的一个节点分配共享该节点的元素的平均值。未分析的网格中的节点从分析的网格中最近的节点接收其值。新元素上基于节点的插值初始化元素值。当未分析的网格中的元素需要一个常量值(例如其厚度)时,该元素将在定义该元素的节点处接收平均值。这份简短的文件记录了这种基于节点的材料特性从一个网格到另一个网格的转移的一些不良特性。

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