Review of the high-order TENO schemes for compressible gas dynamics and turbulence
L Fu - Archives of Computational Methods in Engineering, 2023 - Springer
For compressible flow simulations involving both turbulence and shockwaves, the
competing requirements render it challenging to develop high-order numerical methods …
competing requirements render it challenging to develop high-order numerical methods …
[HTML][HTML] UCNS3D: An open-source high-order finite-volume unstructured CFD solver
UCNS3D is an open-source computational solver for compressible flows on unstructured
meshes. State-of-the-art high-order methods and their associated benefits can now be …
meshes. State-of-the-art high-order methods and their associated benefits can now be …
[HTML][HTML] High order ADER schemes for a unified first order hyperbolic formulation of continuum mechanics: viscous heat-conducting fluids and elastic solids
This paper is concerned with the numerical solution of the unified first order hyperbolic
formulation of continuum mechanics recently proposed by Peshkov and Romenski [110] …
formulation of continuum mechanics recently proposed by Peshkov and Romenski [110] …
ADER-WENO finite volume schemes with space–time adaptive mesh refinement
We present the first high order one-step ADER-WENO finite volume scheme with adaptive
mesh refinement (AMR) in multiple space dimensions. High order spatial accuracy is …
mesh refinement (AMR) in multiple space dimensions. High order spatial accuracy is …
High order ADER schemes for continuum mechanics
In this paper we first review the development of high order ADER finite volume and ADER
discontinuous Galerkin schemes on fixed and moving meshes, since their introduction in …
discontinuous Galerkin schemes on fixed and moving meshes, since their introduction in …
Arbitrary high order central non-oscillatory schemes on mixed-element unstructured meshes
In this paper we develop a family of very high-order central (up to 6th-order) non-oscillatory
schemes for mixed-element unstructured meshes. The schemes are inherently compact in …
schemes for mixed-element unstructured meshes. The schemes are inherently compact in …
CWENO finite-volume interface capturing schemes for multicomponent flows using unstructured meshes
In this paper we extend the application of unstructured high-order finite-volume central-
weighted essentially non-oscillatory (CWENO) schemes to multicomponent flows using the …
weighted essentially non-oscillatory (CWENO) schemes to multicomponent flows using the …
High-order finite-volume TENO schemes with dual ENO-like stencil selection for unstructured meshes
Z Ji, T Liang, L Fu - Journal of Scientific Computing, 2023 - Springer
The TENO-family schemes (Fu et al. in J Comput Phys 305: 333–359, 2016) have been
demonstrated to perform well for compressible gas dynamics and turbulent flow predictions …
demonstrated to perform well for compressible gas dynamics and turbulent flow predictions …
A direct Arbitrary-Lagrangian–Eulerian ADER-WENO finite volume scheme on unstructured tetrahedral meshes for conservative and non-conservative hyperbolic …
In this paper we present a new family of high order accurate Arbitrary-Lagrangian–Eulerian
(ALE) one-step ADER-WENO finite volume schemes for the solution of nonlinear systems of …
(ALE) one-step ADER-WENO finite volume schemes for the solution of nonlinear systems of …
A new family of high order unstructured MOOD and ADER finite volume schemes for multidimensional systems of hyperbolic conservation laws
R Loubere, M Dumbser, S Diot - Communications in Computational …, 2014 - cambridge.org
In this paper, we investigate the coupling of the Multi-dimensional Optimal Order Detection
(MOOD) method and the Arbitrary high order DERivatives (ADER) approach in order to …
(MOOD) method and the Arbitrary high order DERivatives (ADER) approach in order to …