Control strategies for timestep selection in simulation of coupled viscous flow and heat transfer

Valli, Andrea M. P.; Carey, G. F.; Coutinho, Álvaro L. G. A.

doi:10.1002/cnm.475

Cited by 30 publications

(20 citation statements)

References 5 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The efficiency of the control was demonstrated by Valli et al [6,7] in numerical simulations of Rayleigh-Benard-Marangoni problems, flow over a backward-facing step and unsteady flow past a cylinder. Further, the computational overhead of the selection procedure is insignificant compared with solver operations, since time-step selection involves only storing a few extra vectors and computation of associated norms.…”

Section: Fluid-thermal System and Algorithmmentioning

confidence: 96%

“…Boundary conditions and initial conditions for temperature and velocity complete the mathematical statement of the problem. Note that we can decouple at the continuous operator level or at the algebraic level [6,7]. The decoupled flow subproblem is obtained by iteratively 'lagging' temperature for the Boussinesq term in Equation (1).…”

Section: Fluid-thermal System and Algorithmmentioning

confidence: 99%

See 1 more Smart Citation

On decoupled time step/subcycling and iteration strategies for multiphysics problems

Valli

Carey

Coutinho

2008

Commun. Numer. Meth. Engng.

Self Cite

View full text Add to dashboard Cite

SUMMARYThis work investigates partitioned iterative solution of coupled multiphysics systems including subcycling time-stepping strategies for decoupled subsystems in conjunction with a proportional-integral-derivative feedback control algorithm for adaptive time-step selection. Some basic algorithms are proposed and the total computational effort to integrate to steady state is compared for a representative coupled flow and heat transfer problem to illustrate the approach and assess performance efficiency.

show abstract

Section: Fluid-thermal System and Algorithmmentioning

confidence: 96%

Section: Fluid-thermal System and Algorithmmentioning

confidence: 99%

On decoupled time step/subcycling and iteration strategies for multiphysics problems

Valli

Carey

Coutinho

2008

Commun. Numer. Meth. Engng.

Self Cite

View full text Add to dashboard Cite

show abstract

“…The velocity solution is then used as the convective coe cient in the subsequent transport systems such as (14). Since the reaction term H in (14) is a non-linear function of the unknown species solution, we have to solve a non-linear system of the form…”

Section: Coupled Viscous Flow and Transportmentioning

confidence: 99%

Control strategies for timestep selection in finite element simulation of incompressible flows and coupled reaction-convection-diffusion processes

Valli

Carey

Coutinho

2004

Int. J. Numer. Meth. Fluids

Self Cite

View full text Add to dashboard Cite

SUMMARYWe propose two timestep selection algorithms, based on feedback control theory, for ÿnite element simulation of steady state and transient 2D viscous ow and coupled reaction-convection-di usion processes. To illustrate performance of the schemes in practice, we solve Rayleigh-Benard-Marangoni ows, ow across a backward-facing step, unsteady ow around a circular cylinder and chemical reaction systems. Numerical experiments conÿrm that the feedback controllers produce in some cases a very smooth stepsize variation, suggesting that robust control algorithms are possible. These experiments also show that parameter selection can improve timesteps when co-ordinated with the convergence control of non-linear iterations. Further, computational cost of the selection procedures is negligible, since they involve only storing a few extra vectors, computation of norms and evaluation of kinetic energy.

show abstract

“…Most of them are based on a posteriori temporal error estimation (Diebels et al 1999;Ehlers et al 2001). Several alternative approaches are also available such as the method of lines (Matthew et al 2003), and Proportional-Integral (PI) controlled time-stepping (Soderlind 2002;Valli et al 1999;Valli et al 2002). Except for the a posteriori temporal error based methods, most of the other methods have not been applied to multiphase porous media.…”

Section: Introductionmentioning

confidence: 96%

An automatic time increment selection scheme for simulation of elasto-viscoplastic consolidation of clayey soils

Karim

Oka

2010

Geomechanics and Geoengineering

View full text Add to dashboard Cite

An automatic time increment selection scheme for numerical analysis of long-term response of geomaterials is presented. The scheme is simple, rational and stable. Governed by a simple empirical expression, it can adaptively adjust the time increments depending on the strain rate-dependent temporal history of the material response. The proposed expression requires only a few parameters whose selection is a trivial task since they have a small effect on accuracy but have a significant effect on computational efficiency. This generalization has been made possible because of the enforcement of certain predefined control criteria to avoid extreme conditions. If any of the control criteria is satisfied, the computation is restarted by going a few time steps back to ensure the smoothness of the computed responses and time increments are again continuously adjusted through the governing equation provided. Performance of the automatic time increment selection scheme is investigated through finite element analyses of the long-term consolidation response of clay under different geotechnical profiles and loading conditions. Both elastic and elasto-viscoplastic constitutive relations are considered, including the consideration of the destructuration effects of geomaterials. Numerical results show that the performance of the automatic time increment selection scheme is reasonably excellent. While offering reasonable accuracy of the numerical solution, it can ensure temporal stability at optimal computational efficiency. In addition to the Euler implicit method, the automatic time increment selection scheme also performs well even when the explicit fourth-order Runge-Kutta method is employed for the integration of time derivatives.

show abstract

Control strategies for timestep selection in simulation of coupled viscous flow and heat transfer

Cited by 30 publications

References 5 publications

On decoupled time step/subcycling and iteration strategies for multiphysics problems

On decoupled time step/subcycling and iteration strategies for multiphysics problems

Control strategies for timestep selection in finite element simulation of incompressible flows and coupled reaction-convection-diffusion processes

An automatic time increment selection scheme for simulation of elasto-viscoplastic consolidation of clayey soils

Contact Info

Product

Resources

About