3-Dimensional upwind Euler solver using kinetic flux vector splitting method

Deshpande, S. M.; Sekar, S.; Nagarathinam, M.; Krishnamurthy, R.; Sinha, P. P.; Kulkarni, P. S.

doi:10.1007/3-540-56394-6_197

Cited by 7 publications

(2 citation statements)

References 2 publications

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“…This removes the need for any kind of 'special' boundary treatment for high Knudsen number flows using the standard Navier-Stokes equations. One popular variant of such types of scheme is the Kinetic Flux Vector Splitting method [42,43,44]. This scheme employs a particular type of upwinding based on the flow physics at the Boltzmann level rather than the Euler/Navier-Stokes level.…”

Section: Direct Solution Approaches For the Boltzmann Equationmentioning

confidence: 99%

Nano-particle drag prediction at low Reynolds number using a direct Boltzmann–BGK solution approach

Evans¹

2018

Journal of Computational Physics

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This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain. Highlights • A novel finite element approach for solution of the Boltzmann-BGK equation. • Nano-particle drag prediction. • Drag predictions are aligned well with alternative numerical approaches. • Significance of molecular wall absorption assumptions demonstrated. • Applications in a range of fields, including medical, is outlined.

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Section: Direct Solution Approaches For the Boltzmann Equationmentioning

confidence: 99%

Nano-particle drag prediction at low Reynolds number using a direct Boltzmann–BGK solution approach

Evans¹

2018

Journal of Computational Physics

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“…The KFVS scheme essentially addresses Boltzmann equation of kinetic theory of gases and is transformed into Euler equations through a moment method strategy. Extensive studies are carried out using 2-D and 3-D formulations of KFVS scheme in different flow regimes 4,5 . The 1-D KFMG solver based on KFVS scheme developed by Kulkarni and Deshpande 6 revealed that the KFVS scheme has inherent simplicity, especially when applied to moving grid problems.…”

Section: Kinetic Flux Vector Splitting Scheme On Moving Grids (Kfmg)mentioning

confidence: 99%

Kinetic Scheme for Computational Aeroelastic Analysis of 2-D Airfoils in Transonic Flows

Krishnamurthy

Sarma

Deshpande

2004

34th AIAA Fluid Dynamics Conference and Exhibit

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A new formulation based on a Kinetic scheme namely the Kinetic Flux Vector Splitting scheme on Moving Grids(KFMG) for solving Euler equations has been developed for unsteady flow computations around oscillating bodies. The necessary grid movement has been achieved using spring analogy method on structured grids. An integrated Aeroelastic code has been developed by coupling the KFMG Euler solver with a 2-DOF structural dynamics model of an airfoil. Results obtained for steady and unsteady flows problems are compared with literature data and are discussed in detail. The aeroelastic response characteristics for NACA 64A006 airfoil undergoing pitch and plunge motions have been obtained using the present aeroelastic code. The well known 'Transonic Dip' phenomenon has been captured for NACA 64A006 airfoil using the present Computational Aeroelastic code.

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Peculiar velocity based upwind method for inviscid compressible flows

Rao

Lecture Notes in Physics

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A b s t r a c t : A new upwind Boltzmann scheme termed Peculiar Velocity based Upwind (PVU) method is developed for solving Euler equations. Upwinding is done based on peculiar velocity of Kinetic Theory of Gases. This new method is more efficient and physically more meaningful than its predecessor, the Kinetic Flux Vector Splitting (KFVS) method. The PVU method is applied to some standard test problems. The results demonstrate the soundness of the new idea.The motivation for this work came from the idea of improving the Kinetic Flux Vector Splitting (KFVS) method [1] which was demonstrated to be very robust by its application to a wide variety of 2-D and 3-D problems using structured and unstructured meshes [2,3,4,5]. In the KFVS method upwinding is done based on whether molecular velocity is greater or less than zero. Here, a new upwind Boltzmann scheme, in which upwinding is done based on peculiar velocity, which is the relative velocity of the molecule with respect to the fluid, is presented. The upwind method for Euler equations is obtained by taking moments of the upwind scheme applied to the Boltzmann equation of Kinetic Theory of Gases.

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3-Dimensional upwind Euler solver using kinetic flux vector splitting method

Cited by 7 publications

References 2 publications

Nano-particle drag prediction at low Reynolds number using a direct Boltzmann–BGK solution approach

Nano-particle drag prediction at low Reynolds number using a direct Boltzmann–BGK solution approach

Kinetic Scheme for Computational Aeroelastic Analysis of 2-D Airfoils in Transonic Flows

Peculiar velocity based upwind method for inviscid compressible flows

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