Results 11 to 20 of about 593,105 (299)
On the Nonlinearity of Modern Shock-Capturing Schemes [PDF]
, 1987 In this paper we review the development of shock-capturing methods, paying special attention to the increasing nonlinearity in the design of the numerical schemes. We study the nature of the nonlinearity and examine its relation to upwind differencing. This nonlinearity is essential in the sense that analysis by local linearization is not justified and
Ami Harten, Harten, A.
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Shock-capturing with discontinuous garlekin methods [PDF]
, 2009 A shock capturing strategy for high order Discontinuous Galerkin methods for conservation laws is proposed. We present a method in the one-dimensional case based on the introduction of artificial viscosity into the original equations. With this approach the shock is capture with sharp resolution maintaining high-order accuracy.
Huerta, Antonio, Casoni Rero, Eva
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Assessment of a high-order shock-capturing central-difference scheme for hypersonic turbulent flow simulations [PDF]
, 2021 High-speed turbulent flows are encountered in most space-related applications (including exploration, tourism and defense fields) and represent a subject of growing interest in the last decades.
CINELLA, Paola +3 more
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A high order compact scheme for hypersonic aerothermodynamics [PDF]
, 2010 A novel high order compact scheme for solving the compressible Navier-Stokes equations has been developed. The scheme is an extension of a method originally proposed for solving the Euler equations, and combines several techniques for the solution of ...
Emerson, David +2 more
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A Wave-Targeted Essentially Non-Oscillatory 3D Shock-Capturing Scheme for Breaking Wave Simulation
Journal of Marine Science and Engineering, 2022 A new three-dimensional high-order shock-capturing model for the numerical simulation of breaking waves is proposed. The proposed model is based on an integral contravariant form of the Navier–Stokes equations in a time-dependent generalized curvilinear ...
Giovanni Cannata +3 more
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A non-hydrostatic model for water waves in nearshore region
Shui kexue jinzhan, 2015 Based on uniform grid,a depth integrated non-hydrostatic model for coastal water flow is presented. The numerical implementation of the model is split into hydrostatic step and non-hydrostatic step.
FANG Kezhao +3 more
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A Simple and Robust Shock-Capturing Approach for Discontinuous Galerkin Discretizations
Energies, 2019 The discontinuous Galerkin (DG) method has become popular in Computational Fluid Dynamics mainly due to its ability to achieve high-order solution accuracy on arbitrary grids, its high arithmetic intensity (measured as the ratio of the number of floating
Jae Hwan Choi +2 more
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Improvement of the WENO-NIP Scheme for Hyperbolic Conservation Laws
Axioms, 2022 The WENO-NIP scheme was obtained by developing a class of L1-norm smoothness indicators based on Newton interpolation polynomial. It recovers the optimal convergence order in smooth regions regardless of critical points and achieves better resolution ...
Ruo Li, Wei Zhong
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Modelling and Simulation in Engineering, 2012 Within a continuum framework, flows featuring shock waves can be modelled by means of either shock capturing or shock fitting. Shock-capturing codes are algorithmically simple, but are plagued by a number of numerical troubles, particularly evident when ...
Aldo Bonfiglioli +2 more
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High-Order Hybrid WCNS-CPR Scheme for Shock Capturing of Conservation Laws
International Journal of Aerospace Engineering, 2020 By introducing hybrid technique into high-order CPR (correction procedure via reconstruction) scheme, a novel hybrid WCNS-CPR scheme is developed for efficient supersonic simulations.
Jia Guo +4 more
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