A new type of non-polynomial based TENO scheme for hyperbolic conservation laws
T Liang, L Fu - Journal of Computational Physics, 2024 - Elsevier
For classical WENO/TENO reconstructions, the high-order polynomial interpolation is one of
the main building-blocks for constructing the numerical fluxes. However, due to the inherent …
the main building-blocks for constructing the numerical fluxes. However, due to the inherent …
[HTML][HTML] Analytical and numerical insights into wildfire dynamics: Exploring the advection–diffusion–reaction model
C Reisch, A Navas-Montilla, I Özgen-Xian - Computers & Mathematics with …, 2024 - Elsevier
Understanding the dynamics of wildfire is crucial for developing management and
intervention strategies. Mathematical and computational models can be used to improve our …
intervention strategies. Mathematical and computational models can be used to improve our …
Efficient dimension-by-dimension adaptive TENO-based limiter and troubled-cell indicator for nodal-based high-order spectral difference method
A new targeted essentially non-oscillatory (TENO) limiter with adaptive dissipation has been
developed for the 3rd-and 4th-order spectral difference method. This limiter can potentially …
developed for the 3rd-and 4th-order spectral difference method. This limiter can potentially …
[HTML][HTML] Exploring the potential of TENO and WENO schemes for simulating under-resolved turbulent flows in the atmosphere using Euler equations
A Navas-Montilla, J Guallart, P Solán-Fustero… - Computers & …, 2024 - Elsevier
This paper focuses on the design and analysis of very high-order finite volume methods for
the computation of simplified meso-and micro-scale atmospheric flows. In a dry atmosphere …
the computation of simplified meso-and micro-scale atmospheric flows. In a dry atmosphere …
[HTML][HTML] An entropy conserving/stable discontinuous Galerkin solver in entropy variables based on the direct enforcement of entropy balance
Numerical schemes that guarantee the preservation of flow properties as prescribed by
physical laws, ensure high-fidelity results and improved computational robustness. This …
physical laws, ensure high-fidelity results and improved computational robustness. This …
Non-hydrostatic mesoscale atmospheric modeling by the anisotropic mesh adaptive discontinuous Galerkin method
V Dolejsi - arXiv preprint arXiv:2401.10662, 2024 - arxiv.org
We deal with non-hydrostatic mesoscale atmospheric modeling using the fully implicit space-
time discontinuous Galerkin method in combination with the anisotropic $ hp $-mesh …
time discontinuous Galerkin method in combination with the anisotropic $ hp $-mesh …
Improved well-balanced AWENO schemes with hydrostatic reconstruction for the Euler equations under gravitational fields
Q Fu, Z Gao, Y Gu, P Li, BS Wang - Mathematics and Computers in …, 2024 - Elsevier
The Euler equations under gravitational fields allow the hydrostatic equilibrium states, which
requires that the numerical scheme of the system should also have this characteristic. In our …
requires that the numerical scheme of the system should also have this characteristic. In our …