hybrid WENO schemehyperbolic conservation lawsESSENTIALLY NONOSCILLATORY SCHEMESDISCONTINUOUS GALERKIN METHODSEFFICIENT IMPLEMENTATIONNUMERICAL-SIMULATIONINDICATORSENOThis article proposes an improved hybrid weighted essentially non-oscillatory (WENO) scheme based on the third- and fifth-order finite-difference ...
A High-Resolution Hybrid Combined Compact-WENO Scheme for Hyperbolic Conservation LawsYamamoto, ShintaroISHII, Katsuya
WENO schemesLow dissipationHybrid schemesHigh efficiencyFinite differenceTo enhance the performance of the third-order weighted essentially non-oscillatory (WENO) scheme on the four-point stencil, a new hybrid central-type scheme is proposed in this paper. Developments are conducted in the following ...
doi:10.1086/422513Jung, Chang-YeolNguyen, Thien BinhMathematicsJung, C.Y., Nguyen T.B., A new adaptive weighted essentially non-oscillatory WENO-θ scheme for hyperbolic conservation laws. Math. NA, 3, 2015.
WENO schemeHyperbolic conservation lawsSmoothness indicatorIn this article, we introduce a class of fifth-order WENO schemes based on Newton interpolation polynomial, termed WENO-NIP schemes. We develop a class of smoothness indicators that measure the local smoothness of a function in a stencil, ...
In this paper a new simple fifth order weighted essentially non-oscillatory (WENO) scheme is presented in the finite difference framework for solving the hyperbolic conservation laws. The new WENO scheme is a convex combination of a fourth degree polynomial with two linear polynomials in a tradition...
A hybrid scheme is developed for direct numerical simulations of hypersonic flows over a blunt body. The scheme switches to the first-order AUSMPW+ scheme
we work on the numerical solutions for two models which are encountered in biological studies.We start with the Patlak-Kelle-Segel chemotaxis system and related models, and develop both the second-order and fourth-order positivity-preserving hybrid finite-volume-finitedifference scheme for this type ...
In this paper, high-order Runge-Kutta discontinuous Galerkin (RKDG) methods with multi-resolution weighted essentially non-oscillatory (WENO) limiters are designed for solving hyperbolic conservation laws on triangular meshes. These multi-resolution WENO limiters are new extensions of the associated multi...
In this paper, we propose a new sixth-order WENO scheme for solving one dimensional hyperbolic conservation laws. The new WENO reconstruction has three properties: (1) it is central in smooth region for low dissipation, and is upwind near discontinuities for numerical stability; (2) it is a ...