On the use of TVD fluxes in ENO and WENO schemes [PDF]
Very high order methods, such as ENO/WENO methods [21, 30, 19], Runge-Kutta Discontinuous Galerkin Finite Element Methods [12] and ADER methods [54,46] often use high order (e.g.
Titarev, Vladimir +1 more
core
In this work the essentially non-oscillatory schemes (ENO) and the weighted essentially non-oscillatory schemes (WENO) are implemented in a cell centered finite volume context on unstructured meshes.
Azevedo, J. L. F., Wolf, W. R.
core +1 more source
High-Resolution Numerical Scheme for Simulating Wildland Fire Spread
Predicting wildland fire spread requires numerical schemes that can resolve sharp gradients at the fireline while remaining stable and efficient on practical grids.
Vasileios G. Mandikas +1 more
doaj +1 more source
Numerical solution to nonlinear Tricomi equation using WENO schemes
Nonlinear Tricomi equation is a hybrid (hyperbolic-elliptic) second order partial differential equation, modelling the sonic boom focusing. In this paper, the Tricomi equation is transformed into a hyperbolic system of first order equations, in ...
Adrian Sescu +2 more
doaj
Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method: one-dimensional case [PDF]
In this paper, a class of fifth-order weighted essentially non-oscillatory (WENO) schemes based on Hermite polynomials, termed HWENO (Hermite WENO) schemes, for solving one-dimensional nonlinear hyperbolic conservation law systems is presented.
邱建贤, Qiu, JX, Shu, CW
core
On methodology and application of smoothed particle hydrodynamics in fluid, solid and biomechanics. [PDF]
Xu F +5 more
europepmc +1 more source
Embedded WENO schemes by neural networks
LAUREA MAGISTRALEIn questa tesi si vuole sviluppare una nuova classe di schemi ai volumi finiti di alto ordine per leggi di conservazione, sfruttando le potenzialità delle reti neurali artificiali.
ROMANI, ANDREA
core
High-resolution shock-capturing numerical simulations of three-phase immiscible fluids from the unsaturated to the saturated zone. [PDF]
Feo A, Celico F.
europepmc +1 more source
Hermite WENO schemes for Hamilton-Jacobi equations on unstructured meshes
NSFC [11002071, 10931004, 91203110]In this paper, we extend a class of the Hermite weighted essentially non-oscillatory (HWENO) schemes for solving the Hamilton-Jacobi equations by Qiu and Shu (2005) [24] to two dimensional unstructured meshes.
邱建贤 +3 more
core
Development of a High-Order Accurate Hybrid Scheme Using the Central Flux and WENO Schemes
A hybrid central-WENO scheme is proposed. The fifth order WENO-LF scheme is coupled with a central flux scheme at cell face. Two sub-schemes, the WENO-LF scheme and the central flux scheme, are switched by a weighting function.
김대희, 권대희
core

