ChatGPT for programming numerical methods

A Kashefi, T Mukerji - … of Machine Learning for Modeling and …, 2023 - dl.begellhouse.com
ChatGPT is a large language model recently released by the OpenAI company. In this
technical report, we explore for the first time the capability of ChatGPT for programming …

High order weighted essentially non-oscillatory WENO-Z schemes for hyperbolic conservation laws

M Castro, B Costa, WS Don - Journal of Computational Physics, 2011 - Elsevier
In [10], the authors have designed a new fifth order WENO finite-difference scheme by
adding a higher order smoothness indicator which is obtained as a simple and inexpensive …

Weighing black holes using tidal disruption events

B Mockler, J Guillochon… - The Astrophysical …, 2019 - iopscience.iop.org
While once rare, observations of stars being tidally disrupted by supermassive black holes
are quickly becoming commonplace. To continue to learn from these events, it is necessary …

Research progress of SPH simulations for complex multiphase flows in ocean engineering

XS Guan, PN Sun, HG Lyu, NN Liu, YX Peng… - Energies, 2022 - mdpi.com
Complex multiphase flow problems in ocean engineering have long been challenging
topics. Problems such as large deformations at interfaces, multi-media interfaces, and …

An accurate SPH Volume Adaptive Scheme for modeling strongly-compressible multiphase flows. Part 1: Numerical scheme and validations with basic 1D and 2D …

PN Sun, D Le Touzé, G Oger, AM Zhang - Journal of Computational …, 2021 - Elsevier
In the present work, the single-phase and weakly-compressible δ-SPH model is further
extended to simulate multiphase and strongly-compressible flows. This is motivated by the …

Plane shock wave interaction with a cylindrical water column

S Sembian, M Liverts, N Tillmark, N Apazidis - Physics of Fluids, 2016 - pubs.aip.org
A complex system of waves propagating inside a water column due to the impact of plane
shock wave is investigated both experimentally and numerically. Flow features, such as …

[HTML][HTML] A shock-stable modification of the HLLC Riemann solver with reduced numerical dissipation

N Fleischmann, S Adami, NA Adams - Journal of computational physics, 2020 - Elsevier
The purpose of this paper is twofold. First, the application of high-order methods in
combination with the popular HLLC Riemann solver demonstrates that the grid-aligned …

A diffuse interface model with immiscibility preservation

A Tiwari, JB Freund, C Pantano - Journal of computational physics, 2013 - Elsevier
A new, simple, and computationally efficient interface capturing scheme based on a diffuse
interface approach is presented for simulation of compressible multiphase flows. Multi-fluid …

Numerical simulations of underwater explosions using a compressible multi-fluid model

W Yu, S Song, JI Choi - Physics of Fluids, 2023 - pubs.aip.org
We present a novel solver for simulating compressible multi-fluid multiphase flow in
underwater explosions (UNDEXs). The developed solver uses a modified version of Saurel's …

Anti-diffusion interface sharpening technique for two-phase compressible flow simulations

KK So, XY Hu, NA Adams - Journal of Computational Physics, 2012 - Elsevier
In this paper we propose an interface sharpening technique for two-phase compressible-
flow simulations based on volume-of-fluid methods. The idea of sharpening the two-fluid …