On the ideal weights for WENO/WENO-like finite difference schemes for the first derivative, I
An interesting fact which was used in the construction of targeted essentially non-oscillatory (TENO) schemes is that a (n + 1)th order accurate scheme can be written as a linear combination of two nth order accurate schemes.
Li, Xinliang +3 more
core +1 more source
Abstract Background Non‐invasive imaging‐based assessment of blood flow plays a critical role in evaluating heart function and structure. Computed Tomography (CT) is a widely‐used imaging modality that can robustly evaluate cardiovascular anatomy and function, but direct methods to estimate blood flow velocity from movies of contrast dynamics have not ...
Jinyuxuan Guo +4 more
wiley +1 more source
A fourth-order entropy condition scheme for systems of hyperbolic conservation laws
Based on the analysis of the entropy condition scheme formulation, the accuracy order comes from initial value interpolation and flux reconstruction.
Tong Zhou, Haitao Dong
doaj +1 more source
DJ4Earth: Differentiable, and Performance‐Portable Earth System Modeling via Program Transformations
Abstract Differentiable Earth system models (ESMs) enable powerful applications such as sensitivity analysis, gradient‐based calibration, state estimation, boundary flux inversions, uncertainty quantification, and online machine learning. Reverse‐mode automatic differentiation (AD) efficiently provides gradients for such tasks, yet models have rarely ...
William S. Moses +19 more
wiley +1 more source
Compact Central WENO Schemes for Multidimensional Conservation Laws [PDF]
24 pages, 5 ...
Doron Levy +2 more
openaire +8 more sources
Third Order Reconstruction of the KP Scheme for Model of River Tinnelva [PDF]
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 +2 more
doaj +1 more source
Particle Size Effects on Dynamic Behavior of Heated Spheroidal Particles in Shear Flow
Understanding the dynamics of nonspherical particles in shear‐driven flows is essential for a wide range of engineering applications. This study examines how confinement ratio, thermal effects, and interparticle interactions influence the migration, equilibrium positions, and rotation of nonspherical particles in such flows.
Farshad Gharibi, Dominique Thévenin
wiley +1 more source
High order multi-resolution WENO scheme with AUSMV numerical flux for solving the two-phase flows
This article presents the development of a fifth-order multi-resolution finite volume weighted essentially non-oscillatory (WENO) scheme combined with the advection upstream splitting method based on flux vector splitting (AUSMV) numerical flux for ...
Shahid Mehmood, Asad Rehman, Saqib Zia
doaj +1 more source
Energetics of the Upper‐Ocean Under Sea Ice: Frictional Dissipation Versus Baroclinic Production
Abstract In polar regions, the presence of sea ice is known to reduce the ocean's eddy kinetic energy (EKE) by enhancing frictional dissipation at the surface. Here, using a coupled ocean—sea ice model, we discuss a mechanism that can instead increase EKE generation under sea ice and, in our simulations, compensates surface dissipation by 69% to 30 ...
Mukund Gupta +2 more
wiley +1 more source
WENO schemes with Lax–Wendroff type time discretizations for Hamilton–Jacobi equations [PDF]
In this paper, a class of weighted essentially non-oscillatory (WENO) schemes with a Lax–Wendroff time discretization procedure, termed WENO-LW schemes, for solving Hamilton–Jacobi equations is presented.
Qiu, Jianxian
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