Kennedy, Implicit Time Integration Schemes for the Unsteady Compressible Navier-Stokes Equations: Laminar Flow, Journal of Computational Physics, vol. 179, pp. 313-329, 2002.Bijl, H., Carpenter, M. H., Vatsa, V. N., and Kennedy, C. A., "Implicit Time Integration Schemes for the ...
In this article, a novel implicit time-integration scheme for the generalized interpolation material point method (GIMP) is discussed. The implicit algorithm discussed in this article is an extension of the algorithm introduced for the material point method (MPM) by Sulsky and Kaul [1]. In ...
Since the publication of the time integration scheme for finite element solutions involving nonlinear large deformations, much additional experience has been gained. As may be expected, the scheme is now widely used for some nonlinear analyses, specifi- cally also in contact solutions, but – ...
First, we demonstrate the convergence and stability characteristics of the implicit-explicit time integration scheme using a system of spring-coupled masses. Second, we compare the efficiency of the immersed Newmark IMEX method to conventional time integration schemes on a two-dimensional example. Third...
A comprehensive study of the two sub-steps composite implicit time integration scheme for the structural dynamics is presented in this paper. A framework is proposed for the convergence accuracy analysis of the generalized composite scheme. The local truncation errors of the acceleration, velocity and...
in the framework of additive Schwarz preconditioners. Nevertheless, fully implicit time discretizations allows to avoid constraints on the time steps in order to ensure stability of the numerical scheme. In this perspective, they are more flexible in case time adaptivity is also considered, see e.g...
The use of unconditionally stable implicit time integration techniques for pseudodynamic tests has been recently proposed and advanced by several researchers. Inspired by such developments, a pseudodynamic test scheme based on an unconditionally stable implicit time integration algorithm and dual displacement...
These phenomena have a large stiffness in time domain and cannot be solved efficiently by a single time-integration scheme. This conundrum has forced us to use an adaptive time-stepping scheme, in particular, the adaptive time-stepping scheme (ATS) where the former is adopted for stages of ...
5) time-integral identity 时间积分等式 1. Atime-integral identityof the systems is presented. 建立Birkhoff系统的时间积分等式,由此等式导出系统的类功率方程,Pfaff-Birkhoff积分变分原理以及Pfaff-Birkhoff-d′Alembert微分变分原理。 6) time integration scheme ...
A Semi-Lagrangian and Semi-Implicit Numerical Integration Scheme for Multilevel Atmospheric Models A complete multilevel atmospheric model of the primitive meteorological equations is integrated at high spatial resolution with a large time step of 90 min. Numerical stability is achieved by associating a...