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The construction of stable, conservative, and accurate volume dissipation is extended to discretizations that possess a generalized summation-by-parts (SBP) property within a tensor-product framework. The dissipation operators can be…

Numerical Analysis · Mathematics 2026-03-19 Alex Bercik , David A. Craig Penner , David W. Zingg

The shock instability problem commonly arises in flow simulations involving strong shocks, particularly when employing high-order schemes, limiting their applications in hypersonic flow simulations. This study focuses on exploring the…

Numerical Analysis · Mathematics 2023-08-08 Weijie Ren , Wenjia Xie , Ye Zhang , Hang Yu , Zhengyu Tian

The performance of high-order gas-kinetic scheme (HGKS) has been investigated for the direct numerical simulation (DNS) of isotropic compressible turbulence up to the supersonic regime. Due to the multi-scale nature and coupled…

Computational Physics · Physics 2020-05-19 Guiyu Cao , Liang Pan , Kun Xu

In turbulence modeling, we are concerned with finding closure models that represent the effect of the subgrid scales on the resolved scales. Recent approaches gravitate towards machine learning techniques to construct such models. However,…

Numerical Analysis · Mathematics 2024-03-18 Toby van Gastelen , Wouter Edeling , Benjamin Sanderse

Voxel-based analysis methods localize brain structural differences by performing voxel-wise statistical comparisons on two groups of images aligned to a common space. This procedure requires highly accurate registration as well as a…

This research presents a new turbulence generation method based on stochastic wavelets and tests its various properties in both homogeneous and inhomogeneous turbulence. Turbulence field can be generated with less basis compared to previous…

Numerical Analysis · Mathematics 2018-11-14 Yifan Du , Guang Lin

It is now widely accepted that knowledge can be acquired from networks by clustering their vertices according to connection profiles. Many methods have been proposed and in this paper we concentrate on the Stochastic Block Model (SBM). The…

Applications · Statistics 2010-07-27 Pierre Latouche , Etienne Birmele , Christophe Ambroise

We investigate the numerical performance of a Discontinuous Galerkin (DG) hydrodynamics implementation when applied to the problem of driven, isothermal supersonic turbulence. While the high-order element-based spectral approach of DG is…

Instrumentation and Methods for Astrophysics · Physics 2024-10-03 Miha Cernetic , Volker Springel , Thomas Guillet , Rüdiger Pakmor

We present WEBS (WavE-Based Simulations), an efficient wave-based simulation model designed to investigate the dynamic interplay between cross-beam energy transfer (CBET) and stimulated Brillouin scattering (SBS) in laser-plasma systems. By…

Plasma Physics · Physics 2025-12-15 Y. Chen , Qing Wang , H. Wen , Y. Z. J. Xu , S. J. Peng , W. Q. Li , C. Y. Zheng , Z. J. Liu , L. H. Cao , C. Z. Xiao

A combination of methods originating from non-stationary timeseries analysis is applied to two datasets of near surface turbulence in order to gain insights on the non-stationary enhancement mechanism of intermittent turbulence in the…

Atmospheric and Oceanic Physics · Physics 2019-09-04 Nikki Vercauteren , Vyacheslav Boyko , Amandine Kaiser , Danijel Belušić

High-order accurate summation-by-parts (SBP) finite difference (FD) methods constitute efficient numerical methods for simulating large-scale hyperbolic wave propagation problems. Traditional SBP FD operators that approximate first-order…

Numerical Analysis · Mathematics 2021-07-27 Kenneth Duru , Frederick Fung , Christopher Williams

In this paper, we analyze two classes of spectral volume (SV) methods for one-dimensional hyperbolic equations with degenerate variable coefficients. The two classes of SV methods are constructed by letting a piecewise $k$-th order ($k\ge…

Numerical Analysis · Mathematics 2022-11-10 Minqiang Xu , Yanting yuan , Waixiang Cao , Qingsong Zou

This paper reviews results from the study of wall-bounded turbulent flows using statistical state dynamics (SSD) that demonstrate the benefits of adopting this perspective for understanding turbulence in wall-bounded shear flows. The SSD…

Fluid Dynamics · Physics 2017-02-10 Brian F. Farrell , Dennice F. Gayme , Petros J. Ioannou

A Kolmogorov-type cascade of Kelvin waves--the distortion waves on vortex lines--plays a key part in the relaxation of superfluid turbulence at low temperatures. We propose an efficient numeric scheme for simulating the Kelvin wave cascade…

Other Condensed Matter · Physics 2010-10-28 Evgeny Kozik , Boris Svistunov

This paper proposes two novel schemes of wideband compressive spectrum sensing (CSS) via block orthogonal matching pursuit (BOMP) algorithm, for achieving high sensing accuracy in real time. These schemes aim to reliably recover the…

Signal Processing · Electrical Eng. & Systems 2023-04-14 Liyang Lu , Wenbo Xu , Yue Wang , Zhi Tian

We present a scalable, high-order implicit large-eddy simulation (ILES) approach for incompressible transitional flows. This method employs the mass-conserving mixed stress (MCS) method for discretizing the Navier-Stokes equations. The MCS…

Computational Engineering, Finance, and Science · Computer Science 2024-08-14 Philip L. Lederer , Xaver Mooslechner , Joachim Schöberl

In recent years, coupled with traditional turbulence models, the second-order gas-kinetic scheme (GKS) has been used in the turbulent flow simulations. At the same time, high-order GKS has been developed, such as the two-stage fourth-order…

Computational Physics · Physics 2019-04-04 Guiyu Cao , Hongmin Su , Jinxiu Xu , Kun Xu

We develop a spectral element lattice Boltzmann method (SELBM) with the flux bounce-back (FBB) scheme, to enable accurate simulations of single-phase fluid dynamics in unstructured mesh. We adopt an Eulerian description of the streaming…

Fluid Dynamics · Physics 2025-12-09 Chunheng Zhao , Saumil Patel , Hai Lu Lin , Misun Min , Taehun Lee

High temperatures and structural deformations can compromise the functionality and reliability of new components for mechatronic systems. Therefore, high-fidelity simulations (HFS) are employed during the design process, as they enable a…

This paper presents a method for estimating significant wave height (Hs) from sparse S_pectral P_oint using a T_ransformer-based approach (SPT). Based on empirical observations that only a minority of spectral points with strong power…

Signal Processing · Electrical Eng. & Systems 2026-01-09 Yi Zhou , Li Wang , Hang Su , Tian Wang