Results 51 to 60 of about 946,299 (211)

A New Entropy Stable Finite Difference Scheme for Hyperbolic Systems of Conservation Laws

Mathematics, 2023
The hyperbolic problem has a unique entropy solution, which maintains the entropy inequality. As such, people hope that the numerical results should maintain the discrete entropy inequalities accordingly. In view of this, people tend to construct entropy
Zhizhuang Zhang, Xiangyu Zhou, Gang Li, Shouguo Qian, Qiang Niu   +4 more
doaj   +1 more source

Efficient WENO Schemes for Nonuniform Grids

Journal of Scientific Computing
AbstractA set of arbitrarily high-order WENO schemes for reconstructions on nonuniform grids is presented. These non-linear interpolation methods use simple smoothness indicators with a linear cost with respect to the order, making them easy to implement and computationally efficient.
Marti Raga, Maria del Carmen, Mulet, Pep, Yáñez, Dionisio F., Zorío, David   +3 more
openaire   +4 more sources

On the Tropical Nature of an Intense Mediterranean Cyclone in the Ocean‐Atmosphere System

Journal of Geophysical Research: Atmospheres, Volume 131, Issue 14, 28 July 2026.
Abstract The Mediterranean basin hosts a large number of cyclones every year. Among them, some rare cases named medicanes present similarities with tropical cyclones but their dynamical characteristics are debated. The ocean‐atmosphere dynamics of Medicane Ianos (2020) are studied here through km‐scale fully coupled ocean‐wave‐atmosphere simulations ...
Sophia E. Brumer, Florian Pantillon, Joris Pianezze, Yann Le Péru‐Morvan, Matis Ragu‐Fonta, Loly Grand, Antonio Ricchi, Alexandre Barboni, Marie‐Noëlle Bouin   +8 more
wiley   +1 more source

How Does Ice Shell Geometry Shape Ocean Dynamics on Icy Moons?

Journal of Geophysical Research: Planets, Volume 131, Issue 7, July 2026.
Abstract A poleward‐thinning ice shell can drive circulation in the subsurface oceans of icy moons by imposing a meridional temperature gradient–colder at the equator than the pole–through the freezing point suppression due to pressure. This temperature gradient sets a buoyancy gradient, whose sign depends on the thermal expansion coefficient ...
Yixiao Zhang, Wanying Kang, John Marshall   +2 more
wiley   +1 more source

An alternative reconstruction for WENO schemes with adaptive order

CoRR, 2021
We propose an alternative reconstruction for weighted essentially non-oscillatory schemes with adaptive order (WENO-AO) for solving hyperbolic conservation laws. The alternative reconstruction has a more concise form than the original WENO-AO reconstruction. Moreover, it is a strictly convex combination of polynomials with unequal degrees.
openaire   +2 more sources

A Technique of Treating Negative Weights in WENO Schemes [PDF]

Journal of Computational Physics, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shi, Jing, Hu, Changqing, Shu, Chi-Wang
openaire   +2 more sources

A WENO Finite‐Volume Scheme for the Evolution of Potential Vorticity in Isopycnal Ocean Models

Journal of Advances in Modeling Earth Systems, Volume 18, Issue 7, July 2026.
Abstract Ocean circulations are strongly constrained by rotation and stratification, making potential vorticity (PV) a key dynamical property. Specifically, PV is conserved following water parcels in the absence of diabatic forcing and friction—a desirable feature for isopycnal ocean models.
Wenda Zhang, Yi‐Hung Kuo, Simone Silvestri, Alistair Adcroft, Robert Hallberg, Stephen M. Griffies   +5 more
wiley   +1 more source

A modified fifth-order WENO scheme for hyperbolic conservation laws [PDF]

, 2016
This paper deals with a new fifth-order weighted essentially non-oscillatory (WENO) scheme improving the WENO-NS and WENO-P methods which are introduced in Ha et al. J. Comput. Phys. (2013) and Kim et al., J. Sci. Comput. (2016) respectively.
Rathan, Samala, Raju, G Naga
core   +1 more source

Application of a Novel Weighted Essentially Non-Oscillatory Scheme for Reynolds-Averaged Stress Model and Reynolds-Averaged Stress Model/Large Eddy Simulation (RANS/LES) Coupled Simulations in Turbomachinery Flows

Applied Sciences
In numerical simulations, achieving high accuracy without significantly increasing computational cost is often a challenge. To address this issue, this paper proposes an improved finite volume Weighted Essentially Non-Oscillatory (WENO) scheme for ...
Hao Wang, Dongdong Zhong, Shuo Zhang, Xingshuang Wu, Ning Ge   +4 more
doaj   +1 more source

Third Order Reconstruction of the KP Scheme for Model of River Tinnelva [PDF]

Modeling, Identification and Control, 2017
The Saint-Venant equation/Shallow Water Equation is used to simulate flow of river, flow of liquid in an open channel, tsunami etc. The Kurganov-Petrova (KP) scheme which was developed based on the local speed of discontinuity propagation, can be used to
Susantha Dissanayake, Roshan Sharma, Bernt Lie   +2 more
doaj   +1 more source