About the numerical robustness of biomedical benchmark cases: Interlaboratory FDA's idealized medical device

The need for reliable approaches in numerical simulations stands out as a critical issue for the development and optimization of cardiovascular biomedical devices. This led the US Food and Drug Administration to undertake a programme of validation of computational fluid dynamics methods for transitional and turbulent flows. In the current investigation, large-eddy simulation is used to simulate the flow in the first benchmark medical device, and results are confronted to the existing laboratory experiments. This idealized medical device has the particularity to feature transition to turbulence after a sudden expansion. The effects of numerical parameters and low-level inlet perturbations are investigated. Results indicate a considerable impact of numerical aspects on the prediction of the location of the transition to turbulence. The study also demonstrates that injecting small perturbations at the inflow greatly improves the streamwise velocity estimation in the transition region and substantially contributes to the robustness of the flow statistical data. Copyright © 2016 John Wiley & Sons, Ltd.

[1]  Steven Deutsch,et al.  Assessment of CFD Performance in Simulations of an Idealized Medical Device: Results of FDA’s First Computational Interlaboratory Study , 2012 .

[2]  Vincent Moureau,et al.  Design of a massively parallel CFD code for complex geometries , 2011 .

[3]  F. Durst,et al.  Laminar-to-turbulent transition of pipe flows through puffs and slugs , 2008, Journal of Fluid Mechanics.

[4]  C. K. Chong,et al.  Rotational invariance in the three-dimensional lattice Boltzmann method is dependent on the choice of lattice , 2011, J. Comput. Phys..

[5]  Franck Nicoud,et al.  Assessment of subgrid-scale models with a large-eddy simulation-dedicated experimental database: The pulsatile impinging jet in turbulent cross-flow , 2014 .

[6]  J. Williamson Low-storage Runge-Kutta schemes , 1980 .

[7]  Kameswararao Anupindi,et al.  Large Eddy Simulation of FDA’s Idealized Medical Device , 2013, Cardiovascular engineering and technology.

[8]  Steven Deutsch,et al.  Multilaboratory particle image velocimetry analysis of the FDA benchmark nozzle model to support validation of computational fluid dynamics simulations. , 2011, Journal of biomechanical engineering.

[9]  Bruno Eckhardt,et al.  A Critical Point for Turbulence , 2011, Science.

[10]  Parviz Moin,et al.  ADVANCES IN LARGE EDDY SIMULATION METHODOLOGY FOR COMPLEX FLOWS , 2002, Proceeding of Second Symposium on Turbulence and Shear Flow Phenomena.

[11]  Franck Nicoud,et al.  Validation of an immersed thick boundary method for simulating fluid-structure interactions of deformable membranes , 2016, J. Comput. Phys..

[12]  Franck Nicoud,et al.  YALES2BIO: A Computational Fluid Dynamics Software Dedicated to the Prediction of Blood Flows in Biomedical Devices , 2015 .

[13]  Sanjiva K. Lele,et al.  On using large-eddy simulation for the prediction of noise from cold and heated turbulent jets , 2005 .

[14]  Jason Monty,et al.  Comparison of turbulent channel and pipe flows with varying Reynolds number , 2011 .

[15]  A. Chorin Numerical solution of the Navier-Stokes equations , 1968 .

[16]  Alexander Smits,et al.  Scaling of near-wall turbulence in pipe flow , 2009, Journal of Fluid Mechanics.

[17]  A Veneziani,et al.  Validation of an open source framework for the simulation of blood flow in rigid and deformable vessels , 2013, International journal for numerical methods in biomedical engineering.

[18]  A. W. Vreman An eddy-viscosity subgrid-scale model for turbulent shear flow: Algebraic theory and applications , 2004 .

[19]  D. Barkley,et al.  The Onset of Turbulence in Pipe Flow , 2011, Science.

[20]  Niranjan Ghaisas,et al.  Large eddy simulation of transitional flow in an idealized stenotic blood vessel: evaluation of subgrid scale models. , 2014, Journal of biomechanical engineering.

[21]  F. Nicoud,et al.  Using singular values to build a subgrid-scale model for large eddy simulations , 2011 .

[22]  Khellil Sefiane,et al.  Experimental investigation of self-induced thermocapillary convection for an evaporating meniscus in capillary tubes using micro-PIV , 2005 .

[23]  Franck Nicoud,et al.  An unstructured solver for simulations of deformable particles in flows at arbitrary Reynolds numbers , 2014, J. Comput. Phys..

[24]  A. Marsden Optimization in Cardiovascular Modeling , 2014 .

[25]  Y. Duguet,et al.  Highly symmetric travelling waves in pipe flow , 2008, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[26]  Yuri Bazilevs,et al.  Recent advances in computational methodology for simulation of mechanical circulatory assist devices , 2014, Wiley interdisciplinary reviews. Systems biology and medicine.

[27]  Franck Nicoud,et al.  Image-based large-eddy simulation in a realistic left heart , 2014 .

[28]  Matthias Kraushaar,et al.  APPLICATION OF THE COMPRESSIBLE AND LOW-MACH NUMBER APPROACHES TO LARGE-EDDY SIMULATION OF TURBULENT FLOWS IN AERO-ENGINES , 2011 .

[29]  Vincent Moureau,et al.  Optimization of the deflated Conjugate Gradient algorithm for the solving of elliptic equations on massively parallel machines , 2013, J. Comput. Phys..

[30]  Gábor Janiga,et al.  Large eddy simulation of the FDA benchmark nozzle for a Reynolds number of 6500 , 2014, Comput. Biol. Medicine.

[31]  Parviz Moin,et al.  Osborne Reynolds pipe flow: Direct simulation from laminar through gradual transition to fully developed turbulence , 2015, Proceedings of the National Academy of Sciences.

[32]  Jerry Westerweel,et al.  Turbulence transition in pipe flow , 2007 .

[33]  B. Eckhardt,et al.  Dynamical systems and the transition to turbulence in linearly stable shear flows , 2008, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[34]  T. Mullin Experimental Studies of Transition to Turbulence in a Pipe , 2011 .

[35]  D. K. Walters,et al.  Laminar, Turbulent, and Transitional Simulations in Benchmark Cases with Cardiovascular Device Features , 2013 .

[36]  Fotis Sotiropoulos Computational Fluid Dynamics for Medical Device Design and Evaluation: Are We There Yet? , 2012 .

[37]  Rich R. Kerswell,et al.  Transition in pipe flow: the saddle structure on the boundary of turbulence , 2007, Journal of Fluid Mechanics.