A high-order vertex-based central ENO finite-volume scheme for three-dimensional compressible flows

摘要: Abstract High-order discretization methods offer the potential to reduce computational cost associated with modeling compressible flows. However, it is difficult obtain accurate high-order discretizations of conservation laws that do not produce spurious oscillations near discontinuities, especially on multi-dimensional unstructured meshes. A novel, high-order, central essentially non-oscillatory (CENO) finite-volume method does have these difficulties proposed for tetrahedral The vertex-based, which differs from existing cell-based CENO formulations, and uses a hybrid reconstruction procedure switches between two different solution representations. It applies k -exact in smooth regions limited linear when discontinuities are encountered. Both reconstructions use single, stencil all variables, making application arbitrary meshes relatively straightforward. new approach was applied equations governing flows assessed terms accuracy cost. For problems considered, included various function idealized flows, demonstrated excellent reliability robustness. Up fifth-order achieved solutions were obtained discontinuities. schemes also more computationally efficient high-accuracy solutions, i.e., they took less wall time than lower-order achieve desired level error. In one particular case, factor 24 wall-time given error fourth-order scheme same second-order scheme.