Laminar flow in a complex geometry: A comparison

Napolitano, M.; Orlandi, P.

doi:10.1002/fld.1650050802

Cited by 42 publications

(38 citation statements)

References 9 publications

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“…5 are the results of Shu et al [14] using the DQ method with coordinate transformation and the benchmark solution of IAHR workshop given by Cliffe et al using a ®nite element method with results being grid-independent. Note that the results of Cliffe et al are shown in the paper of Napolitano et al [15]. It is seen from the ®gure that, the present results agree very well with the benchmark solution of the problem, and the accuracy of present results is even better than that given by Shu et al [14] using the DQ method.…”

Section: Nonlinear Differential Equationsupporting

confidence: 89%

“…For a general case, it is dif®cult to obtain the analytical solution of either Eq. (14) or (15). Thus, we need to further distribute the mesh points along each vertical line to discretize the y-derivatives in equation system (14) or (15), and pursue the numerical solution at these points.…”

Section: Numerical Discretizationmentioning

confidence: 99%

“…(14) or (15). Thus, we need to further distribute the mesh points along each vertical line to discretize the y-derivatives in equation system (14) or (15), and pursue the numerical solution at these points. At the mesh point along each vertical line, the derivatives in the y direction are further discretized by the DQ method.…”

Section: Numerical Discretizationmentioning

confidence: 99%

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A new discretization method and its application to solve incompressible Navier-Stokes equations

Chen

Fan

2001

Computational Mechanics

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A new numerical method is presented in this paper. This method directly solves partial differential equations in the Cartesian coordinate system. It can be easily applied to solve irregular domain problems without introducing the coordinate transformation technique. The concept of the present method is different from the conventional discretization methods. Unlike the conventional numerical methods where the discrete form of the differential equation only involves mesh points inside the solution domain, the new discretization method reduces the differential equation into a discrete form which may involve some points outside the solution domain. The functional values at these points are computed by the approximate form of the solution along a vertical or horizontal line. This process is called extrapolation. The form of the solution along a line can be approximated by Lagrange interpolated polynomial using all the points on the line or by low order polynomial using 3 local points. In this paper, the proposed new discretization method is ®rst validated by its application to solve sample linear and nonlinear differential equations. It is demonstrated that the present method can easily treat different solution domains without any additional programming work. Then the method is applied to simulate incompressible¯ows in a smooth expansion channel by solving Navier±Stokes equations. The numerical results obtained by the new discretization method agree very well with available data in the literature. All the numerical examples showed that the present method is very ef®cient, which is suitable for solving irregular domain problems.

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Section: Nonlinear Differential Equationsupporting

confidence: 89%

Section: Numerical Discretizationmentioning

confidence: 99%

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A new discretization method and its application to solve incompressible Navier-Stokes equations

Chen

Fan

2001

Computational Mechanics

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“…Para os resultados apresentados a seguir, foram considerados casos de escoamento laminar deágua (ρ = 1000.52 kg/m 3 , µ = 0.001 kg/ms, k = 0.597 W/m, C p = 4.1818 · 10 3 J/kg • C) dentro de um canal com expansão gradual, tal como ilustrado na figura 3.3 [69,70]. A geometria do canal depende do número de Reynolds, de tal forma que a expansão diminui a medida que o número de Reynolds aumenta.…”

Section: Resultsunclassified

Problemas Inversos em Transferência de Calor

2011

Notas Em Matemática Aplicada

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A Sociedade Brasileira de Matemática Aplicada e Computacional -SBMAC publica, desde as primeiras edições do evento, monografias dos cursos que são ministrados nos CNMAC.Para a comemoração dos 25 anos da SBMAC, que ocorreu durante o XXVI CNMAC, foi criada a série Notas em Matemática Aplicada para publicar as monografias dos minicursos ministrados nos CNMAC, o que permaneceu até o XXXIII CNMAC em 2010.A partir de 2011, a série passa, também, a publicar livros nasáreas de interesse da SBMAC. Os autores que submeterem textosà série Notas em Matemática Aplicada devem estar cientes de que poderão ser convidados a ministrarem minicursos nos eventos patrocinados pela SBMAC, em especial nos CNMAC, sobre assunto a que se refere o texto.O livro deve ser preparado em Latex (compatível com o Miktex versão 2.7), as figuras em eps e deve ter entre 80 e 150 páginas. O texto deve ser redigido de forma clara, acompanhado de uma excelente revisão bibliográfica e de exercícios de verificação de aprendizagem ao final de cada capítulo.Veja outros títulos publicados em formato e-book na página

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“…These have been tested against benchmark results given in Ref. [13] as well as data for the friction factor under steady flow conditions reported in Refs. [14] and [15] (Figure 2).…”

Section: Methods Of Solutionmentioning

confidence: 99%

Pulsatile Flow Past a Thermally Participating Cylinder: A Regenerator Model

Muralidhar

1998

Numerical Heat Transfer, Part A: Applications

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The present work is concerned with the analysis ofthe performance ofa regenerator used in Stirling coolers. A mathematical model has been developed for this purpose at the leuel of the mesh fiber. The model employs fluid flow equations for the gaseous phase, while the thermal problem involves conjugate heat transfer between the fluid and the solid phases. The model is driven by a pulsatile flow with hot and cold fluid moving past the solid fiber. The governing equations have been numerically solved using a finite element method. Results show that as the frequency is raised above the characteristic value, the effectiveness also increases, bill the amplitude of the wire temperature fluctuation decreases. Conversely, as the frequency decreases, the effectiveness decreases, whik the temperature amplitude increases. Hence the regenerator perjonnance is optimum when the pulsing frequency is matched with the time constant of the fiber.

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Laminar flow in a complex geometry: A comparison

Cited by 42 publications

References 9 publications

A new discretization method and its application to solve incompressible Navier-Stokes equations

A new discretization method and its application to solve incompressible Navier-Stokes equations

Problemas Inversos em Transferência de Calor

Pulsatile Flow Past a Thermally Participating Cylinder: A Regenerator Model

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