A conservative high-order method utilizing dynamic transfinite mortar elements for flow simulations on curved nonconforming sliding meshes

[摘要] We introduce two concepts in this work: polynomial mortar and transfinite mortar, and apply them to curved nonconforming sliding meshes. It is shown that, on curved meshes, polynomial mortar always carries geometric errors while transfinite mortar has no such errors, which makes the latter superior to the former in almost every aspect. For example, the latter has better accuracies and introduces smaller numerical disturbances. The proposed sliding-mesh method utilizing transfinite mortar is conservative, arbitrarily high-order accurate in space, retains the order of accuracy of a time marching scheme, does not change flow characteristics, and has minimum sliding-speed effects. It is by far the most accurate and most thoroughly studied sliding-mesh method. This method can be extended and applied to a wide range of flow problems, such as propellers, wind turbines, stirred tanks, etc. (C) 2021 Elsevier Inc. All rights reserved.

[发布日期] 2021-10-15

[关键词] High-order method;Nonconforming mesh;Sliding mesh;Polynomial mortar;Transfinite mortar