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A high-order Fourier Continuation (FC)-based spectral incompressible Smoothed Particle Hydrodynamics (ISPH) scheme for general boundary conditions in wall-bounded domains

arXiv:2606.06247v1 Announce Type: new Abstract: In this paper, a high-order Fourier Continuation (FC) algorithm is introduced into the spectral smoothed particle hydrodynamics (SPH) scheme to simulate the wall-bounded incompressible flows. This work aims to extend the spectral ISPH scheme towards the high-order simulation of flows with non-periodic wall boundary conditions. Herein, a polynomial-based Fourier continuation technique is applied to the velocity and pressure to make the domain...

arXiv Physics 5d ago

Topographic shielding of coastal zones and infrastructure against high tide

arXiv:2606.05585v1 Announce Type: new Abstract: High tides are a threat to damage the coast and onshore structures. To investigate mitigation strategies, we simulate waves and a flood-like situation from two-dimensional (2D) dam-break flow with a ramp section at the end of the channel using smoothed particle hydrodynamics (SPH). We analyse the effects of ramps with various topographies to reduce the pressure on structures exerted by the wave.

arXiv Physics 5d ago

OnlyDense: Reduced-Order Modeling for Lagrangian simulation

arXiv:2606.09065v1 Announce Type: new Abstract: In science and engineering, Lagrangian simulation methods such as Smooth Particle Hydrodynamics (SPH) or Material Point Method (MPM) are often employed to study the behavior of dynamic systems. However, these methods can be prohibitively computationally expensive, particularly when simulating multi-scale spatial or temporal phenomena, e.g., void growth and coalescence within macro-scale geometries, structural failure of spacecraft components...

arXiv CS 1d ago

Role of boundary conditions on dam-break flow across an obstacle and controlling damage of structures

arXiv:2606.05580v1 Announce Type: new Abstract: We studied dam-break flow in the smoothed particle hydrodynamics framework using periodic boundary condition (PBC) instead of usually employed rigid wall boundary condition (WBC) and assessed the effects of impact of the flow on the downstream structure due to the presence of an obstacle in front of it. The results show that higher dam heights lead to larger pressure on the wall. The WBC yields higher peak pressures compared PBC.

arXiv Physics 5d ago

Knowledge Manifold: A Riemannian Geometric Framework for Semantic Mapping and Geodesic Analysis of Scientific Literature

arXiv:2606.05907v1 Announce Type: new Abstract: We present the knowledge manifold: a Riemannian geometric space in which a corpus of documents is arranged according to semantic positional relationships derived from character n-gram TF-IDF representations. The framework proceeds in five tightly coupled stages. First, each document is converted to a character-level n-gram TF-IDF vector (4-7 grams, up to 250,000 features, L2-normalized) and embedded in a two-dimensional knowledge map via...

arXiv CS 5d ago

Exploring Neural Network Surrogates for High-Order Mesh-Free Interpolants

arXiv:2503.23230v3 Announce Type: replace Abstract: Mesh-free numerical methods offer flexibility in the discretisation of complex geometries, showing significant potential for problems where mesh-based methods struggle. Although high-order approximations can be obtained through consistency-correction linear systems, such approaches remain prohibitively expensive for Lagrangian formulations, which commonly exhibit low-order convergence. Here we investigate the use of machine learning (ML) to...

arXiv Physics 8d ago