An Advection Scheme using Paired Explicit Runge-Kutta Time Integration for Atmospheric Modeling
Gaoyuan qixiangIn this paper， a new numerical scheme was proposed to solve the advection equation in a multi-moment nonhydrostatic dynamical core.To guarantee the shape-preserving property， the limiting operations are devised for a hybrid discretization framework ...
Zhaoyang SUN +3 more
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A new family of explicit time integration methods
IOP Conference Series: Materials Science and Engineering, 2010 It is very promising for an integration method to possess unconditional stability and the explicitness of each time step simultaneously. For this purpose, a novel family of explicit methods, which can have unconditional stability, is developed and presented. For linear elastic systems, the numerical properties of the proposed family method are the same
S Y Chang, C L Huang
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Near conserving energy numerical schemes for two-dimensional coupled seismic wave equations [PDF]
, 2018 Two-dimensional coupled seismic waves, satisfying the equations of linear isotropic elasticity, on a rectangular domain with initial conditions and periodic boundary conditions, are considered.
Portillo de la Fuente, Ana María
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Implementation of a damage model in a finite element program for computation of structures under dynamic loading [PDF]
Fracture and Structural Integrity, 2016 This work is a numerical simulation of nonlinear problems of the damage process and fracture of quasi-brittle materials especially concrete. In this study, we model the macroscopic behavior of concrete material, taking into account the phenomenon of ...
Nasserdine Oudni, Youcef Bouafia
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Coarse Brownian Dynamics for Nematic Liquid Crystals: Bifurcation Diagrams via Stochastic Simulation [PDF]
, 2002 We demonstrate how time-integration of stochastic differential equations (i.e. Brownian dynamics simulations) can be combined with continuum numerical bifurcation analysis techniques to analyze the dynamics of liquid crystalline polymers (LCPs ...
C. I. Siettos +3 more
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Higher-order explicit time integration methods for numerical analyses of structural dynamics
Latin American Journal of Solids and Structures, 2019 In this article, thirdand fourth-order accurate explicit time integration methods are developed for effective analyses of various linear and nonlinear dynamic problems stated by second-order ordinary differential equations in time.
Wooram Kim
semanticscholar +1 more source
Explicit stencil computation schemes generated by Poisson's formula for the 2D wave equation
Engineering Reports, 2020 A new approach to building explicit time‐marching stencil computation schemes for the transient two‐dimensional acoustic wave equation is implemented. It is based on using Poisson's formula and its three time level modification combined with polynomial ...
Naum M. Khutoryansky
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Adaptive time-stepping for incompressible flow part I: scalar advection-diffusion [PDF]
, 2007 Even the simplest advection-diffusion problems can exhibit multiple time scales. This means that robust variable step time integrators are a prerequisite if such problems are to be efficiently solved computationally.
Gresho, Philip M. +2 more
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Journal of Chemical Physics, 2019 A stable explicit time-scale splitting algorithm for stiff chemical Langevin equations (CLEs) is developed, based on the concept of computational singular perturbation. The drift term of the CLE is projected onto basis vectors that span the fast and slow
Xiaoying Han, M. Valorani, H. Najm
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Systematic Investigation of the Explicit, Dynamically Consistent Methods for Fisher’s Equation
ComputationWe systematically investigate the performance of numerical methods to solve Fisher’s equation, which contains a linear diffusion term and a nonlinear logistic term.
Husniddin Khayrullaev +2 more
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