An improved higher-order explicit time integration method with momentum corrector for linear and nonlinear dynamics

2021 ◽  
Author(s):  
Tianhao Liu ◽  
Fanglin Huang ◽  
Weibin Wen ◽  
Shanyao Deng ◽  
Shengyu Duan ◽  
...  
Keyword(s):  
Nonlinear Dynamics ◽  
Integration Method ◽  
Time Integration ◽  
Higher Order ◽  
Explicit Time Integration ◽  
Time Integration Method ◽  
Linear And Nonlinear

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 A coupled implicit-explicit time integration method for compressible unsteady flows

2019 ◽  
Vol 398 ◽  
pp. 108883 ◽  
Author(s):  
Laurent Muscat ◽  
Guillaume Puigt ◽  
Marc Montagnac ◽  
Pierre Brenner
Keyword(s):  
Integration Method ◽  
Time Integration ◽  
Unsteady Flows ◽  
Explicit Time Integration ◽  
Time Integration Method
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