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Related papers: Modified (hyper-)viscosity for coarse-resolution o…

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We present a multiscale simulation of liquid water where a spatially adaptive molecular resolution procedure allows for changing on-the-fly from a coarse-grained to an all-atom representation. We show that this approach leads to the correct…

Soft Condensed Matter · Physics 2007-07-09 Matej Praprotnik , Luigi Delle Site , Kurt Kremer , Silvina Matysiak , Cecilia Clementi

We present a filter stabilization technique for the mildly compressible Euler equations that relies on a linear or nonlinear indicator function to identify the regions of the domain where artificial viscosity is needed and determine its…

Numerical Analysis · Mathematics 2023-05-23 Nicola Clinco , Michele Girfoglio , Annalisa Quaini , Gianluigi Rozza

We consider the task of lossy compression of high-dimensional vectors through quantization. We propose the approach that learns quantization parameters by minimizing the distortion of scalar products and squared distances between pairs of…

Computer Vision and Pattern Recognition · Computer Science 2016-06-07 Artem Babenko , Relja Arandjelović , Victor Lempitsky

A theoretical framework for the calculation of shear and bulk viscosities of hadronic matter at finite temperature is presented. The framework is based on the quasi-particle picture. It allows for an arbitrary number of hadron species with…

Nuclear Theory · Physics 2011-02-01 P. Chakraborty , J. I. Kapusta

Ergodic properties of a stochastic medium complexity model for atmosphere and ocean dynamics are analysed. More specifically, a two-layer quasi-geostrophic model for geophysical flows is studied, with the upper layer being perturbed by…

Probability · Mathematics 2024-12-20 Giulia Carigi , Jochen Bröcker , Tobias Kuna

A new modeling approach for large-eddy simulation (LES) is obtained by combining a `regularization principle' with an explicit filter and its inversion. This regularization approach allows a systematic derivation of the implied…

Chaotic Dynamics · Physics 2009-11-07 Bernard J. Geurts , Darryl D. Holm

Coastal erosion describes the displacement of land caused by destructive sea waves, currents or tides. Major efforts have been made to mitigate these effects using groynes, breakwaters and various other structures. We address this problem…

Optimization and Control · Mathematics 2022-07-28 Luka Schlegel , Volker Schulz

The work is devoted to the development and computational implementation of the homogenization method for modeling unsteady flows of a viscous incompressible fluid in periodic porous media taking into account memory effects. At the…

Numerical Analysis · Mathematics 2026-04-29 P. N. Vabishchevich

In the present work, a rate-dependent cohesive zone model for the fracture of polymeric interfaces is presented. Inverse calibration of parameters for such complex models through trial and error is computationally tedious due to the large…

Computational Engineering, Finance, and Science · Computer Science 2023-11-15 Ponkrshnan Thiagarajan , Trisha Sain , Susanta Ghosh

A trademark of nonlinear, time-dependent, convection-dominated problems is the spontaneous formation of non-smooth macro-scale features, like shock discontinuities and non-differentiable kinks, which pose a challenge for high-resolution…

Numerical Analysis · Mathematics 2025-10-20 Eitan Tadmor

Recently, stochastic, as opposed to deterministic, parameterizations are being investigated to model the effects of unresolved subgrid scales (SGS) in large eddy simulations (LES) of geophysical flows. We analyse such a stochastic approach…

Analysis of PDEs · Mathematics 2007-05-23 Jinqiao Duan , Balasubramanya T. Nadiga

In this work we propose an Uncertainty Quantification methodology for sedimentary basins evolution under mechanical and geochemical compaction processes, which we model as a coupled, time-dependent, non-linear, monodimensional (depth-only)…

Numerical Analysis · Mathematics 2017-11-22 Ivo Colombo , Fabio Nobile , Giovanni Porta , Anna Scotti , Lorenzo Tamellini

A numerical method is presented to obtain approximate solutions to problems arising from sedimentation models. These processes are widely utilized in minery for recovering water from suspensions coming out of flotation processes. The main…

Numerical Analysis · Mathematics 2008-06-23 Ricardo Ruiz Baier

The structural properties of mechanical metamaterials are typically studied with two-scale methods based on computational homogenization. Because such materials have a complex microstructure, enriched schemes such as second-order…

Computational Engineering, Finance, and Science · Computer Science 2024-10-14 T. Guo , V. G. Kouznetsova , M. G. D. Geers , K. Veroy , O. Rokoš

In this paper we propose a numerical method to solve the Cauchy problem based on the viscous shallow water equations in an horizontally moving domain. More precisely, we are interested in a flooding and drying model, used to modelize the…

Numerical Analysis · Mathematics 2011-05-09 Bernard Di Martino , Catherine Giacomoni , Jean-Martin Paoli , Pierre Simonnet

We present a novel high-order nodal artificial viscosity approach designed for solving Magnetohydrodynamics (MHD) equations. Unlike conventional methods, our approach eliminates the need for ad hoc parameters. The viscosity is…

Numerical Analysis · Mathematics 2024-04-16 Tuan Anh Dao , Murtazo Nazarov

In this work, we propose a generalized multiscale inversion algorithm for heterogeneous problems that aims at solving an inverse problem on a computational coarse grid. Previous inversion techniques for multiscale problems seek a…

Numerical Analysis · Mathematics 2017-07-27 Eric T. Chung , Yalchin Efendiev , Bangti Jin , Wing Tat Leung , Maria Vasilyeva

We propose an alternative method for one-dimensional continuum diffusion models with spatially variable (heterogeneous) diffusivity. Our method, which extends recent work on stochastic diffusion, assumes the constant-coefficient homogenized…

Computational Physics · Physics 2019-12-18 Elliot J. Carr

Using Mathematica package, we derive analytical closed-form expressions for the shear and the bulk viscosity coefficients in multicomponent relativistic gases with constant cross sections, being the relativistic generalization for the hard…

Fluid Dynamics · Physics 2014-02-11 O. Moroz

Unstructured grid ocean models are advantageous for simulating the coastal ocean and river-estuary-plume systems. However, unstructured grid models tend to be diffusive and/or computationally expensive which limits their applicability to…

Atmospheric and Oceanic Physics · Physics 2018-10-31 Tuomas Kärnä , Stephan C. Kramer , Lawrence Mitchell , David A. Ham , Matthew D. Piggott , António M. Baptista