A New Smoothness Indicator of Adaptive Order Weighted Essentially Non-Oscillatory Scheme for Hyperbolic Conservation Laws [PDF]
Mathematics, 2020 Adaptive order weighted essentially non-oscillatory scheme (WENO-AO(5,3)) has increased the computational cost and complexity of the classic fifth-order WENO scheme by introducing a complicated smoothness indicator for fifth-order linear reconstruction ...
Omer Musa, Guoping Huang, Mingsheng Wang
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An Efficient GPU-Accelerated High-Order Upwind Rotated Lattice Boltzmann Flux Solver for Simulating Three-Dimensional Compressible Flows with Strong Shock Waves [PDF]
EntropyThis paper presents an efficient and high-order WENO-based Upwind Rotated Lattice Boltzmann Flux Solver (WENO-URLBFS) on graphics processing units (GPUs) for simulating three-dimensional (3D) compressible flow problems.
Yunhao Wang, Qite Wang, Yan Wang
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AIP Advances, 2022 In the present study, a high-order high-resolution energy stable weighted essentially non-oscillatory plus (ESWENO-P) scheme was developed by improving the weighting function in the energy stable weighted essentially non-oscillatory (ESWENO) scheme ...
S. H. Park, O. J. Kwon, S. Lee
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An improved WENO-Z scheme with symmetry-preserving mapping [PDF]
Advances in Aerodynamics, 2020 Since the classical weighted essentially non-oscillatory (WENO) scheme is proposed, various improved versions have been developed, and a typical one is the WENO-Z scheme.
Zheng Hong, Zhengyin Ye, Kun Ye
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Sinogram-based flow estimation in computed tomography using a physics-informed neural network: Impact of gantry rotation speed, X-ray fluence and pulsed acquisition on accuracy. [PDF]
Med PhysAbstract 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 ...
Guo J +4 more
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A Seventh-order Perturbational Weighted Essentially Non-oscillatory Scheme for Hyperbolic Conservation Laws [PDF]
Alfarama Journal of Basic & Applied Sciences, 2023 This study presents a modified seventh-order weighted essentially non-oscillatory (WENO) finite difference scheme based on the numerical perturbation method established in [1].
Amr Abdalla +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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An Improved Component-Wise WENO-NIP Scheme for Euler System
Mathematics, 2022 As is well known, due to the spectral decomposition of the Jacobian matrix, the WENO reconstructions in the characteristic-wise fashion (abbreviated as CH-WENO) need much higher computational cost and more complicated implementation than their ...
Ruo Li, Wei Zhong
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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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New More Efficient A-WENO Schemes
Journal of Scientific Computing, 2023 We develop new more efficient A-WENO schemes for both hyperbolic systems of conservation laws and nonconservative hyperbolic systems. The new schemes are a very simple modification of the existing A-WENO schemes: They are obtained by a more efficient evaluation of the high-order correction terms.
Shaoshuai Chu +2 more
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