Thermal hydraulic simulations, error estimation and parameter sensitivity studies in Drekar::CFD

This report describes work directed towards completion of the Thermal Hydraulics Methods (THM) CFD Level 3 Milestone THM.CFD.P7.05 for the Consortium for Advanced Simulation of Light Water Reactors (CASL) Nuclear Hub effort. The focus of this milestone was to demonstrate the thermal hydraulics and adjoint based error estimation and parameter sensitivity capabilities in the CFD code called Drekar::CFD. This milestone builds upon the capabilities demonstrated in three earlier milestones; THM.CFD.P4.02 [12], completed March, 31, 2012, THM.CFD.P5.01 [15] completed June 30, 2012 and THM.CFD.P5.01 [11] completed on October 31, 2012.

[1]  Paul Lin,et al.  Large-scale stabilized FE computational analysis of nonlinear steady state transport/reaction systems. , 2004 .

[2]  Rolf Rannacher,et al.  An optimal control approach to a posteriori error estimation in finite element methods , 2001, Acta Numerica.

[3]  Klaus Bremhorst,et al.  A Modified Form of the k-ε Model for Predicting Wall Turbulence , 1981 .

[4]  Paul G. Tucker,et al.  Differential equation-based wall distance computation for DES and RANS , 2003 .

[5]  P. Spalart A One-Equation Turbulence Model for Aerodynamic Flows , 1992 .

[6]  John N. Shadid,et al.  Adjoint based a posteriori error estimation in Drekar::CFD. , 2012 .

[7]  Claes Johnson,et al.  Computational Differential Equations , 1996 .

[8]  John N. Shadid,et al.  A Comparison of Adjoint and Data-Centric Verification Techniques , 2013 .

[9]  Jiri Blazek,et al.  Computational Fluid Dynamics: Principles and Applications , 2001 .

[10]  John N. Shadid,et al.  Reactor Core Sub-Assembly Simulations Using a Stabilized Finite Element Method. , 2011 .

[11]  Endre Süli,et al.  Adaptive finite element methods for differential equations , 2003, Lectures in mathematics.

[12]  John N. Shadid,et al.  Approaches for Adjoint-Based A Posteriori Analysis of Stabilized Finite Element Methods , 2014, SIAM J. Sci. Comput..

[13]  J. Whitelaw,et al.  Convective heat and mass transfer , 1966 .

[14]  Roy D. Williams,et al.  Estimating the Error of Numerical Solutions of Systems of Reaction-Diffusion Equations , 2000 .