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High-order implicit shock tracking is a new class of numerical methods to approximate solutions of conservation laws with non-smooth features. These methods align elements of the computational mesh with non-smooth features to represent them…

Numerical Analysis · Mathematics 2022-02-09 Tianci Huang , Matthew J. Zahr

In this article, we propose a novel conservative diffuse-interface method for the simulation of immiscible compressible two-phase flows. The proposed method discretely conserves the mass of each phase, momentum and total energy of the…

Computational Physics · Physics 2020-06-11 Suhas S. Jain , Ali Mani , Parviz Moin

We propose a robust simulation method for phospholipid membranes. It is based on a mixed three-field formulation that accounts for tangential fluidity (Boussinesq-Scriven law), bending elasticity (Canham-Helfrich model) and inextensibility.…

Numerical Analysis · Mathematics 2018-06-18 Diego S. Rodrigues , Roberto F. Ausas , Fernando Mut , Gustavo C. Buscaglia

We present a fully-explicit, iteration-free, weakly-compressible method to simulate immiscible incompressible two-phase flows. To update pressure, we circumvent the computationally expensive Poisson equation and use the general pressure…

Fluid Dynamics · Physics 2024-06-03 Hormuzd Bodhanwalla , Dheeraj Raghunathan , Y. Sudhakar

Generalizable neural surface reconstruction has become a compelling technique to reconstruct from few images without per-scene optimization, where dense 3D feature volume has proven effective as a global representation of scenes. However,…

Computer Vision and Pattern Recognition · Computer Science 2025-07-09 Aoxiang Fan , Corentin Dumery , Nicolas Talabot , Hieu Le , Pascal Fua

The operation of a novel nonvolatile memory device based on a conductive ferroelectric/non-ferroelectric thin film multilayer stack is simulated numerically. The simulation involves the self-consistent steady state solution of Poisson's…

Materials Science · Physics 2007-05-23 Rene Meyer , Hermann Kohlstedt

Implant placement under soft tissues operation is described. In this operation tissues can reach such deformations that nonlinear properties are appeared. A mass-spring model modification for modeling nonlinear tissue operation is…

Numerical Analysis · Computer Science 2014-03-11 Sergei Nikolaev

The main goal of this paper is to present a series of inequalities connecting the surface area measure of a convex body and surface area measure of its projections and sections. We present a solution of a question from S. Campi, P.…

Metric Geometry · Mathematics 2017-08-29 Alexander Koldobsky , Christos Saroglou , Artem Zvavitch

We carry out the homogenization of a fluid-structure interaction problem consisting in the periodic inclusions of a viscous fluid in an elastic body. We get a macrostructure model where the body behaves as a viscoelastic material with a…

Analysis of PDEs · Mathematics 2024-05-20 Juan Casado-Díaz

In this paper, we present a 2D numerical model developed to simulate the dynamics of soft, deformable particles. To accommodate significant particle deformations, the particle surface is represented as a narrow shell composed of mass points…

Computational Physics · Physics 2025-04-01 Yohann Trivino , Vincent Richefeu , Farhang Radjai , Komlanvi Lampoh , Jean-Yves Delenne

The Liouvillian skin effect and the non-Hermitian skin effect have both been used to explain the localization of eigenmodes near system boundaries, though the former is arguably more accurate in some regimes due to its incorporation of…

Quantum Physics · Physics 2025-03-18 Po-Chen Kuo , Shen-Liang Yang , Neill Lambert , Jhen-Dong Lin , Yi-Te Huang , Franco Nori , Yueh-Nan Chen

In this article, we introduce a novel dimensionality reduction formulation for the Poisson's equation in the Vlasov-Poisson system that yields a reduced-order particle-in-cell scheme. This scheme allows a remarkable reduction in the…

Computational Physics · Physics 2022-06-29 Maryam Reza , Farbod Faraji , Aaron Knoll

We propose a constitutive model to predict the viscosity of fiber suspensions, which undergoes shear thinning, at various volume fractions, aspect ratios, and shear stresses/rates. We calibrate the model using the data from direct numerical…

Fluid Dynamics · Physics 2023-02-08 Monsurul Khan , Rishabh V. More , Arezoo M. Ardekani

The position-based dynamics (PBD) algorithm is a popular and versatile technique for real-time simulation of deformable bodies, but is only applicable to forces that can be expressed as linearly compliant constraints. In this work, we…

Graphics · Computer Science 2025-12-01 Manas Chaudhary , Chandradeep Pokhariya , Rahul Narain

This paper introduces a novel method for the efficient second-order accurate computation of normal fields from volume fractions on unstructured polyhedral meshes. Locally, i.e. in each mesh cell, an averaged normal is reconstructed by…

Numerical Analysis · Mathematics 2023-08-16 Johannes Kromer , Fabio Leotta , Dieter Bothe

We consider numerical algorithms for the simulation of the rheology of two-dimensional vesicles suspended in a viscous Stokesian fluid. The vesicle evolution dynamics is governed by hydrodynamic and elastic forces. The elastic forces are…

Numerical Analysis · Mathematics 2015-06-17 Bryan Quaife , George Biros

We address the problem to infer physical material parameters and boundary conditions from the observed motion of a homogeneous deformable object via the solution of an inverse problem. Parameters are estimated from potentially unreliable…

Graphics · Computer Science 2022-07-26 Sebastian Weiss , Robert Maier , Rüdiger Westermann , Daniel Cremers , Nils Thuerey

In this work we analyze and address a fundamental restriction that blocks the reliable application of codimensional yarn-level and shell models with thickness, to simulate real-world woven and knit fabrics. As discretizations refine toward…

Graphics · Computer Science 2025-10-14 Gonzalo Gomez-Nogales , Zhen Chen , Rosalie Martin , Elena Garces , Danny M. Kaufman

We propose an image deconvolution algorithm when the data is contaminated by Poisson noise. The image to restore is assumed to be sparsely represented in a dictionary of waveforms such as the wavelet or curvelet transforms. Our key…

Applications · Statistics 2009-11-13 François-Xavier Dupé , Jalal Fadili , Jean Luc Starck

[Abridged] We present a novel technique, dubbed FiEstAS, to estimate the underlying density field from a discrete set of sample points in an arbitrary multidimensional space. FiEstAS assigns a volume to each point by means of a binary tree.…

Astrophysics · Physics 2009-11-10 Y. Ascasibar , J. Binney