A Class of New High-order Finite-Volume TENO Schemes for Hyperbolic Conservation Laws with Unstructured Meshes

A short note on a 3D spectral analysis for turbulent flows on unstructured meshes

“…which is the approach most commonly used in the literature as seen in [9,12,[37][38][39][40][41][42][43]. The chosen resolution is such that the total number of cells for each mesh are going to be different, but their element edge resolution (h) is approximately the same, but this approach is sufficient for comparing unstructured meshes of similar resolution for the purpose of this study.…”

“…High-order non-linear numerical methods have been regularly used for iLES due to their increased accuracy at coarse grid resolutions compared to the standard 2nd-order method, their good parallel performance, and high computational efficiency. High-order methods have also been used for unstructured meshes across several numerical frameworks including finite-volume (FV), and finite-element (FE) discontinuous Galerkin, for iLES of complicated geometries [9][10][11][12]. Obtaining analytical expressions for the numerical dissipation and dispersion for several non-linear high-order unstructured-grid-based numerical methods used in iLES is not feasible.…”

Combination of Advanced Actuator Line/Disk Model and High-Order Unstructured Finite Volume Solver for Helicopter Rotors

“…The solver is based on implicit third-order compact finite volume methods. The solver relies on implicit variational reconstruction to achieve high-order accuracy [25,26], which has the advantages of efficiency and compactness compared with other reconstruction methods for high-order finite volume methods [27,28]. However, for efficiency, the linear equations for reconstruction need to be computed only once at the beginning of the computation, and are therefore limited for problems that require the use of a static mesh.…”

A relaxed a posteriori MOOD algorithm for multicomponent compressible flows using high-order finite-volume methods on unstructured meshes

“…The non-oscillatory properties of this type of method will result in a reduction of the number of cells that do not satisfy the MOOD criteria at the outset, as opposed to an unlimited high-order method. Other notable numerical methods that could have been used include the family of Target Essentially Non-Oscillatory (TENO) methods that have been successfully applied to a wide-range of prob-lems [46][47][48][49][50] . The augmented robustness provided by the MOOD technique is necessary for flow problems with very strong gradients that are common at interfaces between solids, liquids and gases through which shock waves propagate.…”