%0 Thesis %1 hillbenchmark %A Hill, Ryan Gregory %D 2010 %K 76f65-direct-numerical-and-large-eddy-simulation-of-turbulence 76m10-finite-element-methods-in-fluid-mechanics %T Benchmark testing the $\alpha$-models of turbulence %U https://www.um.es/freefem/ff++/uploads/Main/RyanHillMSthesis.pdf %X In this analytical and computational study we explore four promising models of turbulentflow, known as theα-models of turbulence. These models arise as a filtering process on the Navier-Stokes equations. Although these four models have seemingly minor differences, we show that thesedifference lead to major differences in conservation laws, and thus in physical relevance of solutions,efficiency in implementation, and most importantly in the accuracy of computed solutions.

@phdthesis{hillbenchmark, abstract = {In this analytical and computational study we explore four promising models of turbulentflow, known as theα-models of turbulence. These models arise as a filtering process on the Navier-Stokes equations. Although these four models have seemingly minor differences, we show that thesedifference lead to major differences in conservation laws, and thus in physical relevance of solutions,efficiency in implementation, and most importantly in the accuracy of computed solutions.}, added-at = {2020-03-27T21:47:55.000+0100}, author = {Hill, Ryan Gregory}, biburl = {https://www.bibsonomy.org/bibtex/231ca08adc43cacbc1e356d7f1a50b3ec/gdmcbain}, interhash = {4927f593a5e1dd44e4ff45c4cc02a2e6}, intrahash = {31ca08adc43cacbc1e356d7f1a50b3ec}, keywords = {76f65-direct-numerical-and-large-eddy-simulation-of-turbulence 76m10-finite-element-methods-in-fluid-mechanics}, month = may, school = {ClemsonUniversity}, timestamp = {2020-03-27T21:47:55.000+0100}, title = {Benchmark testing the $\alpha$-models of turbulence}, url = {https://www.um.es/freefem/ff++/uploads/Main/RyanHillMSthesis.pdf}, year = 2010 }