An Efficient High-Order Meshless Method for Advection-Diffusion Equations on Time-Varying Irregular Domains [0.03%]
求解时间变化不规则区域中对流扩散方程的一种高效无网格高阶方法
Varun Shankar,Grady B Wright,Aaron L Fogelson
Varun Shankar
We present a high-order radial basis function finite difference (RBF-FD) framework for the solution of advection-diffusion equations on time-varying domains. Our framework is based on a generalization of the recently developed Overlapped RB...
Active training of physics-informed neural networks to aggregate and interpolate parametric solutions to the Navier-Stokes equations [0.03%]
基于物理信息神经网络的积极训练以聚合和插值Navier-Stokes方程的参数解
Christopher J Arthurs,Andrew P King
Christopher J Arthurs
The goal of this work is to train a neural network which approximates solutions to the Navier-Stokes equations across a region of parameter space, in which the parameters define physical properties such as domain shape and boundary conditio...
A sharp interface Lagrangian-Eulerian method for rigid-body fluid-structure interaction [0.03%]
一种处理刚体流固耦合问题的拉格朗日-欧拉法及其尖锐界面捕获方法研究
E M Kolahdouz,A P S Bhalla,L N Scotten et al.
E M Kolahdouz et al.
This paper introduces a sharp interface method to simulate fluid-structure interaction (FSI) involving rigid bodies immersed in viscous incompressible fluids. The capabilities of this methodology are benchmarked using a range of test cases ...
Evaluation of Abramowitz functions in the right half of the complex plane [0.03%]
复平面右半部的Abramowitz函数的计算
Zydrunas Gimbutas,Shidong Jiang,Li-Shi Luo
Zydrunas Gimbutas
A numerical scheme is developed for the evaluation of Abramowitz functions Jn in the right half of the complex plane. For n = - 1, … , 2, the scheme utilizes series expansions for ∣z∣ < 1, asymptotic expansions for ∣z∣ > R with R deter...
An Inverse Eikonal Method for Identifying Ventricular Activation Sequences from Epicardial Activation Maps [0.03%]
从心外膜激活图识别心室激活序列的逆像波方法
Thomas Grandits,Karli Gillette,Aurel Neic et al.
Thomas Grandits et al.
A key mechanism controlling cardiac function is the electrical activation sequence of the heart's main pumping chambers termed the ventricles. As such, personalization of the ventricular activation sequences is of pivotal importance for the...
Francesca Grogan,Huan Lei,Xiantao Li et al.
Francesca Grogan et al.
The complexity of molecular dynamics simulations necessitates dimension reduction and coarse-graining techniques to enable tractable computation. The generalized Langevin equation (GLE) describes coarse-grained dynamics in reduced dimension...
A Computational Model of Protein Induced Membrane Morphology with Geodesic Curvature Driven Protein-Membrane Interface [0.03%]
具有测地曲率驱动的蛋白质-膜界面的蛋白质诱导的膜形态的计算模型
Y C Zhou,David Argudo,Frank Marcoline et al.
Y C Zhou et al.
Continuum or hybrid modeling of bilayer membrane morphological dynamics induced by embedded proteins necessitates the identification of protein-membrane interfaces and coupling of deformations of two surfaces. In this article we developed (...
Enriched gradient recovery for interface solutions of the Poisson-Boltzmann equation [0.03%]
泊松-玻尔兹曼方程界面解的重构梯度恢复方法
George Borleske,Y C Zhou
George Borleske
Accurate calculation of electrostatic potential and gradient on the molecular surface is highly desirable for the continuum and hybrid modeling of large scale deformation of biomolecules in solvent. In this article a new numerical method is...
Trend to equilibrium for the kinetic Fokker-Planck equation via the neural network approach [0.03%]
通过神经网络方法研究动能Fokker-Planck方程趋向平衡的趋势
Hyung Ju Hwang,Jin Woo Jang,Hyeontae Jo et al.
Hyung Ju Hwang et al.
The issue of the relaxation to equilibrium has been at the core of the kinetic theory of rarefied gas dynamics. In the paper, we introduce the Deep Neural Network (DNN) approximated solutions to the kinetic Fokker-Planck equation in a bound...
Ebrahim M Kolahdouz,Amneet Pal Singh Bhalla,Brent A Craven et al.
Ebrahim M Kolahdouz et al.
Fluid-structure systems occur in a range of scientific and engineering applications. The immersed boundary (IB) method is a widely recognized and effective modeling paradigm for simulating fluid-structure interaction (FSI) in such systems, ...