scholarly journals Efficient Fully Implicit Time Integration Methods for Modeling Cardiac Dynamics

2008 ◽  
Vol 55 (12) ◽  
pp. 2701-2711 ◽  
Author(s):  
Wenjun Ying ◽  
D.J. Rose ◽  
C.S. Henriquez
Keyword(s):  
Time Integration ◽  
Implicit Time ◽  
Integration Methods ◽  
Fully Implicit ◽  
Cardiac Dynamics ◽  
Implicit Time Integration ◽  
Time Integration Methods

Linearly Implicit Time Integration Methods for Real-Time Dynamic Substructure Testing

2010 ◽  
Vol 136 (11) ◽  
pp. 1380-1389 ◽  
Author(s):  
Oreste S. Bursi ◽  
Leqia He ◽  
Charles-Philippe Lamarche ◽  
Alessio Bonelli
Keyword(s):  
Real Time ◽  
Time Integration ◽  
Implicit Time ◽  
Integration Methods ◽  
Time Dynamic ◽  
Implicit Time Integration ◽  
Time Integration Methods

scholarly journals Impact of difference between explicit and implicit second-order time integration schemes on isotropic/anisotropic steady incompressible turbulence field

2021 ◽  
Vol 2090 (1) ◽  
pp. 012145
Author(s):  
Ryuma Honda ◽  
Hiroki Suzuki ◽  
Shinsuke Mochizuki
Keyword(s):  
Kinetic Energy ◽  
Energy Conservation ◽  
Integration Method ◽  
Time Integration ◽  
Second Order ◽  
Implicit Time ◽  
Explicit Time Integration ◽  
Time Integration Method ◽  
Implicit Time Integration ◽  
Time Integration Methods

Abstract This study presents the impact of the difference between the implicit and explicit time integration methods on a steady turbulent flow field. In contrast to the explicit time integration method, the implicit time integration method may produce significant kinetic energy conservation error because the widely used spatial difference method for discretizing the governing equations is explicit with respect to time. In this study, the second-order Crank-Nicolson method is used as the implicit time integration method, and the fourth-order Runge-Kutta, second-order Runge-Kutta and second-order Adams-Bashforth methods are used as explicit time integration methods. In the present study, both isotropic and anisotropic steady turbulent fields are analyzed with two values of the Reynolds number. The turbulent kinetic energy in the steady turbulent field is hardly affected by the kinetic energy conservation error. The rms values of static pressure fluctuation are significantly sensitive to the kinetic energy conservation error. These results are examined by varying the time increment value. These results are also discussed by visualizing the large scale turbulent vortex structure.

scholarly journals Fully Implicit Time Integration: Fast Solvers and Implicit-Explicit Schemes

2021 ◽  
Author(s):  
Benjamin Southworth ◽  
Tomasso Buvoli ◽  
Oliver Krzysik ◽  
Will Pazner ◽  
Hans De Sterck
Keyword(s):  
Time Integration ◽  
Implicit Time ◽  
Fast Solvers ◽  
Explicit Schemes ◽  
Fully Implicit ◽  
Implicit Time Integration

scholarly journals Nonlinear data-assimilation using implicit models

2005 ◽  
Vol 12 (4) ◽  
pp. 515-525 ◽  
Author(s):  
A. D. Terwisscha van Scheltinga ◽  
H. A. Dijkstra
Keyword(s):  
Parameter Estimation ◽  
Ocean Circulation ◽  
Flow Behavior ◽  
Time Integration ◽  
Implicit Time ◽  
Parameter Estimation Problem ◽  
Fully Implicit ◽  
Implicit Time Integration ◽  
Dynamical Regimes ◽  
Parameter Values

Abstract. We show how the traditional 4D-Var method can be adapted for implicit time-integration and extended for multi-parameter estimation. We present the algorithm for this new method, which we call I4D-Var, and demonstrate its performance using a fully-implicit barotropic quasi-geostrophic model of the wind-driven double-gyre ocean circulation. For the latter model, the different regimes of flow behavior and the regime boundaries (i.e. bifurcation points) are well known and hence the parameter estimation problem can be systematically studied. It turns out that I4D-Var is able to correctly estimate parameter values, even when background flow and "observations" are in different dynamical regimes.

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