Finite Element Formulation for Computational Fluid Dynamics Framed Within the Bond Graph Theory

Bond Graphs for Modelling, Control and Fault Diagnosis of Engineering Systems ◽

10.1007/978-3-319-47434-2_9 ◽

2017 ◽

pp. 311-358

Author(s):

Jorge Luis Baliño

Keyword(s):

Fluid Dynamics ◽

Computational Fluid Dynamics ◽

Finite Element ◽

Graph Theory ◽

Finite Element Formulation ◽

Element Formulation ◽

Bond Graph Theory

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A new finite element formulation for computational fluid dynamics: VII. The stokes problem with various well-posed boundary conditions: Symmetric formulations that converge for all velocity/pressure spaces

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(87)90184-8 ◽

1987 ◽

Vol 65 (1) ◽

pp. 85-96 ◽

Author(s):

Thomas J.R. Hughes ◽

Leopoldo P. Franca

Keyword(s):

Fluid Dynamics ◽

Computational Fluid Dynamics ◽

Finite Element ◽

Boundary Conditions ◽

Stokes Problem ◽

Finite Element Formulation ◽

Element Formulation ◽

Velocity Pressure ◽

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A new finite element formulation for computational fluid dynamics: III. The generalized streamline operator for multidimensional advective-diffusive systems

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(86)90152-0 ◽

1986 ◽

Vol 58 (3) ◽

pp. 305-328 ◽

Author(s):

Thomas J.R. Hughes ◽

Michel Mallet

Keyword(s):

Fluid Dynamics ◽

Computational Fluid Dynamics ◽

Finite Element ◽

Finite Element Formulation ◽

Element Formulation ◽

Diffusive Systems

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A new finite element formulation for computational fluid dynamics: IV. A discontinuity-capturing operator for multidimensional advective-diffusive systems

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(86)90153-2 ◽

1986 ◽

Vol 58 (3) ◽

pp. 329-336 ◽

Author(s):

Thomas J.R. Hughes ◽

Michel Mallet

Keyword(s):

Fluid Dynamics ◽

Computational Fluid Dynamics ◽

Finite Element ◽

Finite Element Formulation ◽

Element Formulation ◽

Diffusive Systems

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A new finite element formulation for computational fluid dynamics: V. Circumventing the babuška-brezzi condition: a stable Petrov-Galerkin formulation of the stokes problem accommodating equal-order interpolations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(86)90025-3 ◽

1986 ◽

Vol 59 (1) ◽

pp. 85-99 ◽

Author(s):

Thomas J.R. Hughes ◽

Leopoldo P. Franca ◽

Marc Balestra

Keyword(s):

Fluid Dynamics ◽

Computational Fluid Dynamics ◽

Finite Element ◽

Stokes Problem ◽

Finite Element Formulation ◽

Element Formulation ◽

Galerkin Formulation

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A new finite element formulation for computational fluid dynamics: V. Circumventing the Babuška-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(87)90093-4 ◽

1987 ◽

Vol 62 (1) ◽

pp. 111 ◽

Keyword(s):

Fluid Dynamics ◽

Computational Fluid Dynamics ◽

Finite Element ◽

Stokes Problem ◽

Finite Element Formulation ◽

Element Formulation ◽

Galerkin Formulation

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A new finite element formulation for computational fluid dynamics: IX. Fourier analysis of space-time Galerkin/least-squares algorithms

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(91)90145-v ◽

1991 ◽

Vol 87 (1) ◽

pp. 35-58 ◽

Author(s):

Farzin Shakib ◽

Thomas J.R. Hughes

Keyword(s):

Fluid Dynamics ◽

Computational Fluid Dynamics ◽

Finite Element ◽

Fourier Analysis ◽

Least Squares ◽

Finite Element Formulation ◽

Element Formulation

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A new finite element formulation for computational fluid dynamics: II. Beyond SUPG

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(86)90110-6 ◽

1986 ◽

Vol 54 (3) ◽

pp. 341-355 ◽

Author(s):

Thomas J.R. Hughes ◽

Michel Mallet ◽

Mizukami Akira

Keyword(s):

Fluid Dynamics ◽

Computational Fluid Dynamics ◽

Finite Element ◽

Finite Element Formulation ◽

Element Formulation

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A new finite element formulation for computational fluid dynamics: Development of an hourglass control operator for multidimensional advective-diffusive systems

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(92)90063-p ◽

1992 ◽

Vol 94 (3) ◽

pp. 429-442 ◽

Author(s):

M. Mallet ◽

C. Poirier ◽

F. Shakib

Keyword(s):

Fluid Dynamics ◽

Computational Fluid Dynamics ◽

Finite Element ◽

Finite Element Formulation ◽

Element Formulation ◽

Control Operator ◽

Hourglass Control ◽

Diffusive Systems

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A new finite element formulation for computational fluid dynamics: X. The compressible Euler and Navier-Stokes equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(91)90041-4 ◽

1991 ◽

Vol 89 (1-3) ◽

pp. 141-219 ◽

Author(s):

Farzin Shakib ◽

Thomas J.R. Hughes ◽

Zdeněk Johan

Keyword(s):

Fluid Dynamics ◽

Computational Fluid Dynamics ◽

Finite Element ◽

Stokes Equations ◽

Finite Element Formulation ◽

Navier Stokes ◽

Element Formulation ◽

Navier Stokes Equations ◽

Compressible Euler

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A new finite element formulation for computational fluid dynamics: III. The generalized streamline operator for multidimensional advective-diffusive systems

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(87)90092-2 ◽

1987 ◽

Vol 62 (1) ◽

pp. 111 ◽

Keyword(s):

Fluid Dynamics ◽

Computational Fluid Dynamics ◽

Finite Element ◽

Finite Element Formulation ◽

Element Formulation ◽

Diffusive Systems

Download Full-text