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Smoothed Particle Hydrodynamics (SPH) is a frequently applied tool in computational astrophysics to solve the fluid dynamics equations governing the systems under study. For some problems, for example when involving asteroids and asteroid…

Instrumentation and Methods for Astrophysics · Physics 2023-11-20 Irina Sagert , Oleg Korobkin , Ingo Tews , Bing-Jyun Tsao , Hyun Lim , Michael J. Falato , Julien Loiseau

We study suspensions of solid particles in a viscous incompressible fluid in the presence of highly oscillatory velocity-dependent surface forces. The flow at a small Reynolds number is modeled by the Stokes equations coupled with the…

Analysis of PDEs · Mathematics 2013-04-10 Yuliya Gorb , Florian Maris , Bogdan Vernescu

We study the stability of cosmological scaling solutions within the class of spatially homogeneous cosmological models with a perfect fluid subject to the equation of state p_gamma=(gamma-1) rho_gamma (where gamma is a constant satisfying 0…

General Relativity and Quantum Cosmology · Physics 2009-10-31 A. P. Billyard , A. A. Coley , R. J. van den Hoogen

The question of the local stability of the (replica-symmetric) amorphous solid state is addressed for a class of systems undergoing a continuous liquid to amorphous-solid phase transition driven by the effect of random constraints. The…

Disordered Systems and Neural Networks · Physics 2009-10-31 Horacio E. Castillo , Paul M. Goldbart , Annette Zippelius

The phase-field-crystal model for liquid crystals is solved numerically in two spatial dimensions. This model is formulated with three position-dependent order parameters, namely the reduced translational density, the local nematic order…

Soft Condensed Matter · Physics 2014-01-28 Cristian Vasile Achim , Raphael Wittkowski , Hartmut Löwen

The thermodynamic stability of the hard-sphere gas has been examined, using the formalism of scaled particle theory [SPT], and by applying explicitly the conditions of stability required by both the second and third laws of thermodynamics.…

Statistical Mechanics · Physics 2007-05-23 J. F. Kenney

The present work proposes an approach for fluid-solid and contact interaction problems including thermo-mechanical coupling and reversible phase transitions. The solid field is assumed to consist of several arbitrarily-shaped, undeformable…

Computational Engineering, Finance, and Science · Computer Science 2021-09-14 Sebastian L. Fuchs , Christoph Meier , Wolfgang A. Wall , Christian J. Cyron

Lagrangian smoothed particle hydrodynamics (SPH) is a well-established approach to model fluids in astrophysical problems, thanks to its geometric flexibility and ability to automatically adjust the spatial resolution to the clumping of…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-14 S. Hess , V. Springel

Particle-stabilised emulsions are a cornerstone of soft matter science due to their broad application and fundamental relevance. Computer simulations provide key insights into the formation and behaviour of these emulsions, yet current…

Soft Condensed Matter · Physics 2026-02-19 Elisabeth C. Eij , Joost de Graaf , Martin F. Haase , Jesse M. Steenhoff

We present an immersed boundary method to simulate the creeping motion of a rigid particle in a fluid described by the Stokes equations discretized thanks to a finite element strategy on unfitted meshes, called Phi-FEM, that uses the…

Numerical Analysis · Mathematics 2023-01-30 Michel Duprez , Vanessa Lleras , Alexei Lozinski

We use density-functional theory, of the fundamental-measure type, to study the relative stability of the biaxial nematic phase, with respect to non-uniform phases such as smectic and columnar, in fluids made of hard board-like particles…

Soft Condensed Matter · Physics 2017-09-13 Yuri Martinez-Raton , Szabolcs Varga , Enrique Velasco

This study introduces a Riemann-based Smoothed Particle Hydrodynamics (SPH) framework for the stable and accurate simulation of surface tension in multiphase flows, with density and viscosity ratios as high as 1000 and 100, respectively.…

Fluid Dynamics · Physics 2025-03-21 Shuaihao Zhang , Sérgio D. N. Lourenço , Xiangyu Hu

The stability of thin liquid coatings is of fundamental interest in every- day life. Homogeneous and non-volatile liquid coatings may dewet either by heterogeneous nucleation, thermal nucleation, or spinodal dewetting. Wetting and dewetting…

Soft Condensed Matter · Physics 2008-05-29 Karin Jacobs , Ralf Seemann , Stephan Herminghaus

We present the results from a two-day study in which we discussed various implementations of Smooth Particle Hydrodynamics (SPH), one of the leading methods used across a variety of areas of large-scale astrophysical simulations. In…

Astrophysics · Physics 2007-05-23 Piet Hut , Lars Hernquist , George Lake , Jun Makino , Steve McMillan , Thomas Sterling

Pair potentials that are bounded at the origin provide an accurate description of the effective interaction for many systems of dissolved soft macromolecules (e.g., flexible dendrimers). Using numerical free-energy calculations, we…

Soft Condensed Matter · Physics 2014-10-29 C. Speranza , S. Prestipino , G. Malescio , P. V. Giaquinta

Consider the motion of a material point of unit mass in a central field determined by a homogeneous potential of the form $(-1/r^{\alpha})$, $\alpha>0,$ where $r$ being the distance to the centre of the field. Due to the singularity at…

Mathematical Physics · Physics 2009-10-01 Manuele Santoprete , Cristina Stoica

We report on calculations of the reduced sedimentation velocity $U/U_{0}$ in homogenous suspensions of strongly and weakly charged colloidal spheres as a function of particle volume fraction $\phi$. For dilute suspensions of strongly…

Soft Condensed Matter · Physics 2007-05-23 M. Watzlawek , G. Naegele

The equilibrium phase diagram of a 1:1 symmetrical mixture composed of oppositely charged colloids is calculated using Monte Carlo simulations. We model the system by the DLVO effective interaction potential. The phase diagram is similar to…

Soft Condensed Matter · Physics 2007-05-23 José B. Caballero , Antonio M. Puertas

We study the behavior of very thin liquid films wetting homogeneous planar and spherical substrates. In order to describe a simple fluid at very small scales, we employ a classical density functional theory (DFT). Here, we model a fluid…

Statistical Mechanics · Physics 2017-01-10 Andreas Nold

Discontinuous Shear Thickening (DST) fluids exhibit unique instability properties in a wide range of flow conditions. We present numerical simulations of a scalar model for DST fluids in a planar simple shear using the Smoothed Particle…

Fluid Dynamics · Physics 2024-08-16 Peter Angerman , Bjornar Sandnes , Ryohei Seto , Marco Ellero