Upwind schemes and large eddy simulation

Sengupta, Tapan K.; Nair, Manoj T.

doi:10.1002/(sici)1097-0363(19991115)31:5<879::aid-fld903>3.0.co;2-v

Cited by 24 publications

(20 citation statements)

References 17 publications

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“…(21) and (22) are expressed in the physical (x-y) plane. An uniform grid is used in the streamwise direction while a stretched grid is used in the wall normal direction.…”

Section: Numerical Methods and Auxiliary Conditionsmentioning

confidence: 99%

See 1 more Smart Citation

Computation of leading-edge contamination

Sengupta¹,

Chaturvedi²,

Kumar³

et al. 2004

Computers & Fluids

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“…(21) and (22) are expressed in the physical (x-y) plane. An uniform grid is used in the streamwise direction while a stretched grid is used in the wall normal direction.…”

Section: Numerical Methods and Auxiliary Conditionsmentioning

confidence: 99%

“…Secondly, the equations that are solved (given by Eqs. (21) and (22)) are the full Navier-Stokes equation in Eulerian description. Thus it will not lead to singularity formation and the accuracy of the solution with respect to satisfying mass conservation is ensured by the streamfunction-vorticity formulation.…”

Section: The Formulation Of the Receptivity Problemmentioning

confidence: 99%

Computation of leading-edge contamination

Sengupta¹,

Chaturvedi²,

Kumar³

et al. 2004

Computers & Fluids

Self Cite

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“…Numerical (finite difference, FDM, finite volume, FVM, and finite element methods, FEM) and analytical methods have been used for discretizing and, thus, solving convective-diffusive partial differential equations. The literature related to the FEM (Zienkiewicz & Taylor, 1989, 1991Fortes, 1997;Fang et al, 1997;Carey et al, 1998;Fortes & Ferreira, 1999;Baker et al, 1999), FVM (Patankar, 1980;Versteeg & Malalasekera, 1995;Moukalled & Darwish, 1997) and FDM (Patel et al, 1985;Hirsch, 1988;Hoffman, 1992;Balzano, 1999;Sengupta & Nair, 1999) used to solve convection-diffusion problems is abundant, and no intent is made here to cover the latest developments.…”

Section: Introductionmentioning

confidence: 99%

Transport coefficients for low and high-rate mass transfer along a biological horizontal cylinder

Barreto¹,

Fortes

Ferreira

et al. 2006

Rev. bras. eng. agríc. ambient.

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Knowledge of heat and mass transfer coefficients is essential for drying simulation studies or design of food and grain thermal processes, including drying. This work presents the full development of a segregated finite element method to solve convection-diffusion problems. The developed scheme allows solving the incompressible, steady-state Navier-Stokes equations and convective-diffusive problems with temperature and moisture dependent properties. The problem of simultaneous energy, momentum and species transfer along an infinite, horizontal cylinder under drying conditions in forced convection is presented, considering conditions normally found in biological material thermal treatment or drying. Numerical results for Nusselt and Sherwood numbers were compared against available empirical expressions; the results agreed within the associated experimental errors. For high rate mass transport processes, the proposed methodology allows to simulate drying conditions involving wall convective mass flux by a simple inclusion of the appropriated boundary conditions. Key words: drying, heat transfer, convection, diffusion Coeficientes de transporte para baixas e altas taxas de transferência de massa ao longo de um cilindro biológico horizontal RESUMO O conhecimento dos coeficientes de transferência de calor e massa é essencial para o estudo de simulação de secagem e para o projeto de processamento térmico de grãos e alimentos, inclusive secagem. Este trabalho apresenta o desenvolvimento completo de um método de elementos finitos segregado para resolver problemas de convecção-difusão. O esquema desenvolvido permite que se resolvam as equações de Navier-Stokes incompressíveis em regime permanente, além de problemas convectivos-difusivos com propriedades dependentes da temperatura e da umidade. Apresenta-se o problema de transferência simultânea de energia, momentum e espécies ao longo de um cilindro horizontal, infinito sob condições de secagem em convecção forçada, considerando-se condições normalmente encontradas em tratamento tér-mico ou secagem de material biológico. Compararam-se resultados numéricos para Nusselt e Sherwood com expressões empíricas disponíveis; os resultados concordaram dentro dos erros experimentais associados. Para processos com altas taxas de transporte de massa, a metodologia proposta permite simular condições de secagem envolvendo fluxo convectivo de massa na parede, por meio de uma simples inclusão de condições de contorno apropriadas.

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“…Thus, when a second derivative is used it is always added, while the fourth derivative term is always subtracted. A direct connection of higher order upwind methods have been shown [8] with Large Eddy simulations (LES). The implicit dissipation term was shown in [8] to be equivalent to the sub-grid scales stress models used in LES.…”

Section: Introductionmentioning

confidence: 99%

“…A direct connection of higher order upwind methods have been shown [8] with Large Eddy simulations (LES). The implicit dissipation term was shown in [8] to be equivalent to the sub-grid scales stress models used in LES. While sufficient attention has been spent on the spatial discretization, there has been lesser focus on the time discretization schemes.…”

Section: Introductionmentioning

confidence: 99%

A Comparative Study of Time Advancement Methods for Solving Navier–Stokes Equations

Sengupta¹,

Dipankar

2004

Journal of Scientific Computing

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A qualitative and quantitative study is made for choosing time advancement strategies for solving time dependent equations accurately. A single step, low order Euler time integration method is compared with Adams-Bashforth, a second order accurate time integration strategy for the solution of one dimensional wave equation. With the help of the exact solution, it is shown that the presence of the computational mode in Adams-Bashforth scheme leads to erroneous results, if the solution contains high frequency components. This is tested for the solution of incompressible Navier-Stokes equation for uniform flow past a rapidly rotating circular cylinder. This flow suffers intermittent temporal instabilities implying presence of high frequencies. Such instabilities have been noted earlier in experiments and high accuracy computations for similar flow parameters. This test problem shows that second order AdamsBashforth time integration is not suitable for DNS.

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Upwind schemes and large eddy simulation

Cited by 24 publications

References 17 publications

Computation of leading-edge contamination

Computation of leading-edge contamination

Transport coefficients for low and high-rate mass transfer along a biological horizontal cylinder

A Comparative Study of Time Advancement Methods for Solving Navier–Stokes Equations

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