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Finite elasticity problems commonly include material and geometric nonlinearities and are solved using various numerical methods. However, for highly nonlinear problems, achieving convergence is relatively difficult and requires small load…

数值分析 · 数学 2018-05-01 Yue Mei , Daniel E. Hurtado , Sanjay Pant , Ankush Aggarwal

A semi-implicit Lax-Wendroff kinetic scheme is developed for hydrodynamic phonon transport in solid materials based on the Boltzmann transport equation under the double relaxation time approximation, in which both the normal and resistive…

计算物理 · 物理学 2026-01-30 Shijie Li , Hong Liang , Songze Chen , Chuang Zhang

We develop a fully-coupled, fully-implicit approach for phase-field modeling of solidification in metals and alloys. Predictive simulation of solidification in pure metals and metal alloys remains a significant challenge in the field of…

计算工程、金融与科学 · 计算机科学 2021-10-05 Supriyo Ghosh , Christopher K. Newman , Marianne M. Francois

We develop a numerical scheme for a two-phase immiscible flow in heterogeneous porous media using a structured grid finite element method, which have been successfully used for the computation of various physical applications involving…

数值分析 · 数学 2015-10-08 Gwanghyun Jo , Do Y. Kwak

Steady state simulations} of magnetized electron fluid equations with strong anisotropic diffusion based on the first-order hyperbolic approach is carried out using cell-centered higher order upwind schemes, linear and weighted essentially…

计算物理 · 物理学 2019-03-14 Amareshwara Sainadh Chamarthi , Kimiya Komurasaki , Rei Kawashima

In this work we consider a new efficient IMplicit Pressure Explicit Saturation (IMPES) scheme for the simulation of incompressible and immiscible two-phase flow in heterogeneous porous media with capillary pressure. Compared with the…

数值分析 · 数学 2020-01-01 Huangxin Chen , Shuyu Sun

Solving compressible flows containing both smooth and discontinuous flow structures remains a significant challenge for finite volume methods. Godunov-type finite volume methods are commonly used for numerical simulations of compressible…

流体动力学 · 物理学 2025-02-07 Minsheng Huang , Lidong Cheng , Wenjun Ying , Xi Deng , Feng Xiao

We assess the validity of a single step Godunov scheme for the solution of the magneto-hydrodynamics equations in more than one dimension. The scheme is second-order accurate and the temporal discretization is based on the dimensionally…

天体物理仪器与方法 · 物理学 2014-11-20 A. Mignone , P. Tzeferacos

In this paper we analyze the weighted essentially non-oscillatory (WENO) schemes in the finite volume framework by examining the first step of the explicit third-order total variation diminishing Runge-Kutta method. The rationale for the…

数值分析 · 数学 2024-03-14 Xinjuan Chen , Jiaxi Gu , Jae-Hun Jung

Multi-user multiple-input multiple-output (MU-MIMO) beamforming design is typically formulated as a non-convex weighted sum rate (WSR) maximization problem that is known to be NP-hard. This problem is solved either by iterative algorithms,…

信号处理 · 电气工程与系统科学 2022-10-28 Jing-Yuan Xia , Zhixiong Yang , Tong Qiu , Huaizhang Liao , Deniz Gunduz

We present a divergence-free semi-implicit finite volume scheme for the simulation of the ideal magnetohydrodynamics (MHD) equations which is stable for large time steps controlled by the local transport speed at all Mach and Alfv\'en…

数值分析 · 数学 2024-03-08 Walter Boscheri , Andrea Thomann

We present the hybridization of flux reconstruction methods for advection-diffusion problems. Hybridization introduces a new variable into the problem so that it can be reduced via static condensation. This allows the solution of implicit…

数值分析 · 数学 2023-10-25 Carlos A. Pereira , Brian C. Vermeire

The weakly compressible SPH (WCSPH) method is known suffering from low computational efficiency, or unnatural voids and unrealistic phase separation when it is applied to simulate highly violent multi-phase flows with high density ratio,…

计算物理 · 物理学 2020-01-08 Massoud Rezavand , Chi Zhang , Xiangyu Hu

We develop a semi-implicit algorithm for time-accurate simulation of the compressible Navier-Stokes equations, with special reference to wall-bounded flows. The method is based on linearization of the partial convective fluxes associated…

流体动力学 · 物理学 2016-08-31 Davide Modesti , Sergio Pirozzoli

Implicit full waveform inversion (IFWI) introduces implicit neural representations to parameterize the subsurface velocity model as a continuous function of spatial coordinates, which alleviates the dependence on the initial model and…

地球物理 · 物理学 2026-05-05 Zefeng Wang , Shijun Cheng , Weijian Mao , Wei Ouyang , Huanhuan Tang

We propose an accelerated computational fluid dynamics framework based on a hybrid Fourier Neural Operator-Lattice Boltzmann Method (FNO-LBM) for steady and unsteady weakly compressible flows. FNO-based initialization significantly…

流体动力学 · 物理学 2026-05-01 Alexandra Junk , Josef M. Winter , Meike Tütken , Steffen Schmidt , Nikolaus A. Adams

High-order implicit shock tracking is a new class of numerical methods to approximate solutions of conservation laws with non-smooth features. These methods align elements of the computational mesh with non-smooth features to represent them…

数值分析 · 数学 2022-02-09 Tianci Huang , Matthew J. Zahr

In this paper, a downlink intelligent reflecting surface (IRS) enhanced millimeter-wave (mmWave) non-orthogonal multiple access (NOMA) system is considered. A joint optimization problem over active beamforming, passive beamforming and power…

信息论 · 计算机科学 2020-05-05 Jiakuo Zuo , Yuanwei Liu , Ertugrul Basar , Octavia A. Dobre

The present paper deals with the problem of improving the efficiency of large scale turbulent flow simulations. The high-fidelity methods for modelling turbulent flows become available for a wider range of applications thanks to the…

计算物理 · 物理学 2018-04-10 Boris Krasnopolsky

This paper presents a new numerical model based on the highly nonlinear potential flow theory for simulating the propagation of water waves in variable depth. A new set of equations for estimating the surface vertical velocity is derived…

流体动力学 · 物理学 2024-12-02 Jinghua Wang