Results 31 to 40 of about 41,784 (281)
Fluids, 2023 The numerical solution of hyperbolic conservation laws requires algorithms with upwind characteristics. Conventional methods such as the numerical difference method can realize this characteristic by constructing special distributions of nodes.
Bing Yang +3 more
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Optimized Weighted Essentially Nonoscillatory Third-Order Schemes for Hyperbolic Conservation Laws
Journal of Applied Mathematics, 2013 We describe briefly how a third-order Weighted Essentially Nonoscillatory (WENO) scheme is derived by coupling a WENO spatial discretization scheme with a temporal integration scheme. The scheme is termed WENO3.
A. R. Appadu, A. A. I. Peer
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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 +4 more
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An exact particle method for scalar conservation laws and its application to stiff reaction kinetics
, 2010 An "exact" method for scalar one-dimensional hyperbolic conservation laws is presented. The approach is based on the evolution of shock particles, separated by local similarity solutions.
Farjoun, Yossi, Seibold, Benjamin
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A rarefaction-tracking method for hyperbolic conservation laws
, 2009 We present a numerical method for scalar conservation laws in one space dimension. The solution is approximated by local similarity solutions. While many commonly used approaches are based on shocks, the presented method uses rarefaction and compression ...
A Harten +22 more
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Schaeffer's regularity theorem for scalar conservation laws does not extend to systems [PDF]
, 2017 Several regularity results hold for the Cauchy problem involving one scalar conservation law having convex flux. Among these, Schaeffer's theorem guarantees that if the initial datum is smooth and is generic, in the Baire sense, the entropy admissible ...
Caravenna, Laura, L., Spinolo
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Advanced Electronic Materials, EarlyView.This work presents a physics‐based DC compact model of an Organic Electrochemical Transistor (OECT) that takes into account the faradaic redox reaction in the above threshold regime and incorporates the diffusive current of the subthreshold regime based on semiconductor physics.
Ermias Telahun Teka +6 more
wiley +1 more source
Advances in Difference Equations, 2020 In this paper, the existence and uniqueness of the interface coupling (IC) of time and spatial (TS) arbitrary-order fractional (AOF) nonlinear hyperbolic scalar conservation laws (NHSCL) are investigated.
S. M. R. Shirkhorshidi +4 more
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Asia-Pacific Journal of Chemical Engineering, EarlyView.ABSTRACT Hybrid nanofluids, known for their superior thermal and electrical conductivity, have demonstrated remarkable potential in enhancing the heat transfer capability of conventional base fluids. This study analyzes the effects of viscous dissipation and heat radiation on two‐dimensional unsteady incompressible squeezing flow transporting hybrid ...
Hajra Batool +3 more
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An Improved WENO-Z Scheme for Hyperbolic Conservation Laws with New Global Smoothness Indicator
Mathematics, 2023 The fifth-order WENO-Z scheme proposed by Borges et al., using a linear combination of low-order smoothness indicators, is designed to provide a low numerical dissipation to solve hyperbolic conservation laws, while the power q in the framework of WENO-Z
Shuang Han, Mingjun Li
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