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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...
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...
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.
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...
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...
Declining fertility a global challenge that no one has answers to, but efforts still worth it: PM Wong
Declining fertility a global challenge that no one has answers to, but efforts still worth it: PM Wong Asked whether a new population planning parameter is on the cards, Prime Minister Lawrence Wong said there is no new figure and the goal is to “maintain stability and to avoid population decline”. SINGAPORE: Declining fertility is a challenge facing countries all over the world, with no ready solution to address it, said Prime Minister Lawrence Wong on Monday (Jun 8). However, efforts to...
US, China in ‘mutually assured disruption’ dynamic, both sides worse off if they continue imposing restrictions on one another: PM Wong
US, China in ‘mutually assured disruption’ dynamic, both sides worse off if they continue imposing restrictions on one another: PM Wong Prime Minister Lawrence Wong said that Singapore seeks to have friendly ties with as many countries as possible, including Europeans, Gulf countries and North Korea, among others. While the United States and Soviet Union were caught in a state of “mutually assured destruction” during the Cold War, the US and China could now be in a dynamic of “mutually...