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We report a 2D Boundary Element Method (BEM) modeling of the thermal diffusion-controlled growth of a vapor bubble attached to a heating surface during saturated pool boiling. The transient heat conduction problem is solved in a liquid that…

Classical Physics · Physics 2016-01-28 Vadim Nikolayev , Daniel Beysens

A mathematical model allowing coupled hygro-thermo-mechanical analysis of spalling in concrete walls at high temperatures by means of the moving boundary problem is presented. A simplified mechanical approach to account for effects of…

Computational Engineering, Finance, and Science · Computer Science 2015-02-13 Michal Beneš , Radek Štefan

In this paper we implement a simple strategy, based on Jin and Braza's method, to deal with nonreflecting outlet boundary conditions for incompressible Navier-Stokes flows using the method of smoothed particle hydrodynamics (SPH). The…

We present a collision model for phase-resolved Direct Numerical Simulations of sediment transport that couple the fluid and particles by the Immersed Boundary Method. Typically, a contact model for these types of simulations comprises a…

Fluid Dynamics · Physics 2017-04-18 Edward Biegert , Bernhard Vowinckel , Eckart Meiburg

We present a novel implementation of Smoothed Particle Hydrodynamics (SPHS) that uses the spatial derivative of the velocity divergence as a higher order dissipation switch. Our switch -- which is second order accurate -- detects flow…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-03 J. I. Read , T. Hayfield

This work presents an alternative view on the numerical simulation of diffusion processes applied to the heat and moisture transfer through porous building materials. Traditionally, by using the finite-difference approach, the…

Computational Engineering, Finance, and Science · Computer Science 2020-02-20 Suelen Gasparin , Julien Berger , Denys Dutykh , Nathan Mendes

Particle methods play an important role in the study of a wide variety of astrophysical fluid dynamics problems. The different methods currently in use are all variants of the so-called Smoothed Particle Hydrodynamics (SPH) scheme…

Astrophysics · Physics 2009-10-31 Frederic A. Rasio

In the Material Point Method (MPM), accurately imposing Neumann-type thermal boundary conditions, particularly convective heat flux boundaries, remains a significant challenge due to the inherent nonconformity between complex evolving…

Mathematical Physics · Physics 2026-01-09 Jidu Yu , Jidong Zhao

We introduce and test a new and highly efficient method for treating the thermal and radiative effects influencing the energy equation in SPH simulations of star formation. The method uses the density, temperature and gravitational…

Astrophysics · Physics 2009-11-13 D. Stamatellos , A. P. Whitworth , T. Bisbas , S. Goodwin

We present a simple stochastic quadrant model for calculating the transport and de- position of heavy particles in a fully developed turbulent boundary layer based on the statistics of wall-normal fluid velocity fluctuations obtained from a…

Fluid Dynamics · Physics 2016-08-02 C. Jin , I. Potts , M. W. Reeks

We propose a numerical approach for solving conjugate heat transfer problems using the finite volume method. This approach combines a semi-implicit scheme for fluid flow, governed by the incompressible Navier-Stokes equations, with an…

Numerical Analysis · Mathematics 2025-03-18 Liang Fang , Xiandong Liu , Lei Zhang

We present an implementation of Smoothed Particle Hydrodynamics (SPH) in an adaptive-mesh PPPM algorithm. The code evolves a mixture of purely gravitational particles and gas particles. The code retains the desirable properties of previous…

Astrophysics · Physics 2009-10-22 H. M. P. Couchman , P. A. Thomas , F. R. Pearce

Sequencing batch reactors (SBRs) are devices widely used in wastewater treatment, chemical engineering, and other areas. They allow for the sedimentation and compression of solid particles of biomass simultaneously with biochemical…

Numerical Analysis · Mathematics 2023-04-18 Raimund Bürger , Julio Careaga , Stefan Diehl , Romel Pineda

The present study aims to extend the applicability of the static-boundary absorption method in phase-resolving CFD simulations outside the conventional shallow-water waves limit. Even though this method was originally formulated for…

Fluid Dynamics · Physics 2020-11-26 Muhannad W. Gamaleldin , Alexander V. Babanin , Amin Chabchoub

This review discusses Smoothed Particle Hydrodynamics (SPH) in the astrophysical context, with a focus on inviscid gas dynamics. The particle-based SPH technique allows an intuitive and simple formulation of hydrodynamics that has excellent…

Cosmology and Nongalactic Astrophysics · Physics 2011-09-13 Volker Springel

Basic Smoothed Particle Hydrodynamics (SPH) models exhibit excessive, numerical dissipation in the simulation of water wave propagation. This can be remedied using higher-order approaches such as kernel gradient correction, which introduce…

Computational Engineering, Finance, and Science · Computer Science 2025-11-14 Lennart Justin Schulze , Vito Zago , Giuseppe Bilotta , Robert Anthony Dalrymple

We present an effective thermal open boundary condition for convective heat transfer problems on domains involving outflow/open boundaries. This boundary condition is energy-stable, and it ensures that the contribution of the open boundary…

Fluid Dynamics · Physics 2019-10-23 X. Liu , Z. Xie , S. Dong

Smoothed particle hydrodynamics (SPH) discretization techniques are generalized to develop a method, smoothed particle interpolation (SPI), for solving initial value problems of systems of non-hydrodynamical nature. Under this approach, SPH…

Astrophysics · Physics 2009-10-22 Pablo Laguna

It is well known that the number of particles should be scaled up to enable industrial scale simulation. The calculations are more computationally intensive when the motion of the surrounding fluid is considered. Besides the advances in…

Computational Physics · Physics 2014-07-28 Hao Zhang , F. Xavier Trias , Assensi Oliva , Dongmin Yang , Yuanqiang Tan , Shi Shu , Yong Sheng

The current study is a pioneering work in presenting the boundary layer equations for the two-dimensional flow and heat transfer of the Cross fluid over a linearly stretching sheet. The system of partial differential equations is turned…

Fluid Dynamics · Physics 2016-09-08 Masood Khan , Mehwish Manzur , Masood ur Rahman