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The Exact Regularized Point Particle (ERPP) method is extended to treat the interphase momentum coupling between particles and fluid in the presence of walls by accounting for the vorticity generation due to the particles close to solid…

We present a simple modification of the direct-forcing immersed boundary method (IBM) proposed by Uhlmann [J. Comput. Phys, 2005] in order to enable it to be applied to particulate flows with solid-to-fluid density ratios around unity. The…

Fluid Dynamics · Physics 2023-06-21 Manuel Garcia-Villalba , Blanca Fuentes , Jan Dusek , Manuel Moriche , Markus Uhlmann

Cosmological field-level inference requires differentiable forward models that solve the challenging dynamics of gas and dark matter under hydrodynamics and gravity. We propose a hybrid approach where gravitational forces are computed using…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-31 Arne Thomsen , Tilman Tröster , François Lanusse

We present a constrained formulation of Dedner et al's hyperbolic/parabolic divergence cleaning scheme for enforcing the \nabla\dot B = 0 constraint in Smoothed Particle Magnetohydrodynamics (SPMHD) simulations. The constraint we impose is…

Instrumentation and Methods for Astrophysics · Physics 2012-08-17 Terrence S. Tricco , Daniel J. Price

A notorious problem in astronomy is the recovery of the true shape and spectral energy distribution (SED) of a galaxy despite attenuation by interstellar dust embedded in the same galaxy. This problem has been solved for a few hundred…

Astrophysics of Galaxies · Physics 2024-11-14 Jared Siegel , Peter Melchior

Simulating flow problems is at the core of many engineering applications but often requires high computational effort, especially when dealing with complex models. This work presents a novel approach for resolving flow problems using the…

Numerical Analysis · Mathematics 2026-02-04 Élise Foulatier , Pierre-Alain Boucard , François Louf , David Néron , Philipp Junker

Parallel implementation features of self-gravitating gas dynamics modeling on multiple GPUs are considered applying the GPU-Direct technology. The parallel algorithm for solving of the self-gravitating gas dynamics problem based on hybrid…

Astrophysics of Galaxies · Physics 2018-07-25 Sergey Khrapov , Alexander Khoperskov

One of the challenges when simulating astrophysical flows with self-gravity is to compute the gravitational forces. In contrast to the hyperbolic hydrodynamic equations, the gravity field is described by an elliptic Poisson equation. We…

Numerical Analysis · Mathematics 2021-06-30 Michael Schlottke-Lakemper , Andrew R. Winters , Hendrik Ranocha , Gregor J. Gassner

We consider iterative methods for solving the linearised Navier-Stokes equations arising from two-phase flow problems and the efficient preconditioning of such systems when using mixed finite element methods. Our target application is…

Numerical Analysis · Mathematics 2020-05-18 Niall Bootland , Alistair Bentley , Christopher Kees , Andrew Wathen

We extend the canonical problems of simulation and optimization of steady-state gas flows in pipeline networks with compressors to the transport of mixtures of highly heterogeneous gases injected throughout a network. Our study is motivated…

Optimization and Control · Mathematics 2022-12-05 Saif R. Kazi , Kaarthik Sundar , Shriram Srinivasan , Anatoly Zlotnik

A problem of mass flow in the immediate vicinity of a planet embedded in a protoplanetary disk is studied numerically in two dimensions. Large differences in temporal and spatial scales involved suggest that a specialized discretization…

Astrophysics · Physics 2007-05-23 P. Ciecielag , T. Plewa , M. Rozyczka

We develop robust solvers for a class of perturbed saddle-point problems arising in the study of a second-order elliptic equation in mixed form (in terms of flux and potential), and of the four-field formulation of Biot's consolidation…

Numerical Analysis · Mathematics 2020-11-11 Wietse M. Boon , Miroslav Kuchta , Kent-Andre Mardal , Ricardo Ruiz-Baier

A deterministic-stochastic coupling scheme is developed for simulating rarefied gas flows, where the key process is the alternative solving of the macroscopic synthetic equations [Su et al., J. Comput. Phys., 407 (2020) 109245] and the…

Computational Physics · Physics 2024-06-26 Liyan Luo , Qi Li , Fei Fei , Lei Wu

The planar laminar flow resulting from the impingement of two gaseous jets of different density issuing into an open space from aligned steadily fed slot nozzles of semi-width $R$ separated a distance $2H$ is investigated by numerical and…

Fluid Dynamics · Physics 2022-02-15 A. D. Weiss , W. Coenen. A. L. Sánchez

In the present work, we present a novel numerical algorithm to couple the Direct Simulation Monte Carlo method (DSMC) for the solution of the Boltzmann equation with a finite volume like method for the solution of the Euler equations.…

Numerical Analysis · Mathematics 2014-04-08 Pierre Degond , Giacomo Dimarco

The maximal entropy moment method (MEM) is systematic solution of the challenging problem: generating extended hydrodynamic equations valid for both dense and rarefied gases. However, simulating MEM suffers from a computational expensive…

Fluid Dynamics · Physics 2024-02-21 Candi Zheng , Wang Yang , Shiyi Chen

We present a model of coupling between a point wise particle and a compressible inviscid fluid following the Euler equations. The interaction between the fluid and the particle is achieved through a drag force. It writes as the product of a…

Analysis of PDEs · Mathematics 2016-03-16 Nina Aguillon

We revisit, via a very simplified set of equations, a linear streaming instability (technically an overstability), which is present in, and potentially important for, dusty protoplanetary disks (Youdin & Goodman 2005). The goal is a better…

Earth and Planetary Astrophysics · Physics 2015-05-28 Emmanuel Jacquet , Steven A. Balbus , Henrik N. Latter

The levelling of a thin liquid film has been analysed experimentally, theoretically, and numerically. The purpose of this contribution is to compare solutions from two different finite element models: one based on the 2D Navier-Stokes…

Fluid Dynamics · Physics 2017-08-04 Sandy Morris , Mathieu Sellier , Abdul Rahman Al Behadili

In this paper we develop a dual-support smoothed particle hydrodynamics (DS-SPH) that naturally satisfies the conservation of momentum, angular momentum and energy when the varying smoothing length is utilized. The DS-SPH is based on the…

Computational Physics · Physics 2016-07-29 Huilong Ren , Zili Dai , Xiaoying Zhuang , Timon Rabczuk