Results 1 to 10 of about 14,333 (117)

Solving global shallow water equations on heterogeneous supercomputers. [PDF]

PLoS ONE, 2017
The scientific demand for more accurate modeling of the climate system calls for more computing power to support higher resolutions, inclusion of more component models, more complicated physics schemes, and larger ensembles. As the recent improvements in
Haohuan Fu, Lin Gan, Chao Yang, Wei Xue, Lanning Wang, Xinliang Wang, Xiaomeng Huang, Guangwen Yang   +7 more
doaj   +2 more sources

Shallow water equations for equatorial tsunami waves. [PDF]

Philos Trans A Math Phys Eng Sci, 2018
Geyer A, Quirchmayr R.
europepmc   +2 more sources

Preserving stationary discontinuities in two-layer shallow water equations with a novel well-balanced approach

Journal of Hydroinformatics, 2023
This paper proposes a novel energy-balanced numerical scheme for the two-layer shallow water equations (2LSWEs) that accurately captures internal hydraulic jumps without introducing spurious oscillations. The proposed scheme overcomes the problem of post-
Majid Akbari, Bahareh Pirzadeh
doaj   +1 more source

Projective Integration for Hyperbolic Shallow Water Moment Equations

Axioms, 2022
In free surface flows, shallow water models simplify the flow conditions by assuming a constant velocity profile over the water depth. Recently developed Shallow Water Moment Equations allow for variations of the velocity profile at the expense of a more
Amrita Amrita, Julian Koellermeier
doaj   +1 more source

Lubrication and shallow-water systems Bernis-Friedman and BD entropies [PDF]

ESAIM: Proceedings and Surveys, 2020
This paper concerns the results recently announced by the authors, in C.R. Acad. Sciences Maths volume 357, Issue 1, 1-6 (2019), which make the link between the BD entropy introduced by D. Bresch and B.
Bresch Didier, Colin Mathieu, Msheik Khawla, Noble Pascal, Song Xi   +4 more
doaj   +1 more source

An investigation of a closed-form solution for non-linear variable-order fractional evolution equations via the fractional Caputo derivative

Frontiers in Physics, 2023
Determining the non-linear traveling or soliton wave solutions for variable-order fractional evolution equations (VO-FEEs) is very challenging and important tasks in recent research fields.
Umair Ali, Muhammad Naeem, Reham Alahmadi, Farah Aini Abdullah, Muhammad Asim Khan, Abdul Hamid Ganie   +5 more
doaj   +1 more source

A gauge theory for shallow water

SciPost Physics, 2023
The shallow water equations describe the horizontal flow of a thin layer of fluid with varying height. We show that the equations can be rewritten as a $d=2+1$ dimensional Abelian gauge theory.
David Tong
doaj   +1 more source

Topology of rotating stratified fluids with and without background shear flow

Physical Review Research, 2023
Poincaré inertio-gravity modes described by the shallow water equations in a rotating frame have nontrivial topology, providing a perspective on the origin of equatorially trapped Kelvin and Yanai waves.
Ziyan Zhu, Christopher Li, J. B. Marston
doaj   +1 more source

Sawi Transform Based Homotopy Perturbation Method for Solving Shallow Water Wave Equations in Fuzzy Environment

Mathematics, 2022
In this manuscript, a new hybrid technique viz Sawi transform-based homotopy perturbation method is implemented to solve one-dimensional shallow water wave equations.
Mrutyunjaya Sahoo, Snehashish Chakraverty   +1 more
doaj   +1 more source

Boussinesq modeling of surface waves due to underwater landslides [PDF]

Nonlinear Processes in Geophysics, 2013
Consideration is given to the influence of an underwater landslide on waves at the surface of a shallow body of fluid. The equations of motion that govern the evolution of the barycenter of the landslide mass include various dissipative effects due to ...
D. Dutykh, H. Kalisch
doaj   +1 more source