A Comparative Study of Computational Methods in Cosmic Gas Dynamics

Albada, G.D. van; Leer, Bram van; Roberts, William W.

doi:10.1007/978-3-642-60543-7_6

Cited by 412 publications

(382 citation statements)

References 15 publications

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“…The so-computed fluxes are limited using the van Leer-van Albada limiting function [6]. Spatial gradients are computed using the Green-Gauss integration formula.…”

Section: Numerical Solution Of the Ipce Equationsmentioning

confidence: 99%

On the Development of the 3d Euler Equations Using Intrusive Pce for Uncertainty Quantification

Kantarakias¹,

Chatzimanolakis²,

Asouti³

et al. 2017

Proceedings of the 2nd International Conference on Uncertainty Quantification in Computational Sciences and Engineering (UNCECO

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Abstract. This paper presents a method for the quantification of uncertainty propagation using intrusive Polynomial Chaos Expansion (iPCE) in CFD. In constrast to commonly implemented non-intrusive methods which take advantage of existing CFD evaluation software in order to quantify the statistical behavior of the flow, an intrusive PCE method is developed and implemented to the 3D Euler equations. Uncertainties are introduced through the flow conditions and their propagation throughout the flow field is quantified. A Probability Density Function (PDF) is assumed for each uncertain flow condition and the generalized PCE inviscid equations for the corresponding coefficient fields of the flow variables are derived. Already known properties of the equations, such as the first order-homogeneity, are found to hold in the new set of the equations. The discretization schemes are adapted to the new set of governing equations while a systematic approach to the corresponding eigenproblem is introduced. The method is applied to 3D inviscid flow cases for which the mean value and the standard deviation of specific flow quantities characterizing the flow are quantified and compared with those computed by the non-intrusive PCE and Monte-Carlo methods.

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“…The so-computed fluxes are limited using the van Leer-van Albada limiting function [6]. Spatial gradients are computed using the Green-Gauss integration formula.…”

Section: Numerical Solution Of the Ipce Equationsmentioning

confidence: 99%

On the Development of the 3d Euler Equations Using Intrusive Pce for Uncertainty Quantification

Kantarakias¹,

Chatzimanolakis²,

Asouti³

et al. 2017

Proceedings of the 2nd International Conference on Uncertainty Quantification in Computational Sciences and Engineering (UNCECO

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“…The direct-summation method computes and integrates the pairwise forces on each particle with all others, in which the computation increases as O(N 2 ). Much effort [13,14,15,16] has been expended to reduce the complexity by approximating the contribution of many particles with a single interaction, resulting in complexity of O(N log N ). Among them, "tree codes" [15,17,18] are widely deployed, which use a tree structure to organize particles and group distant particles into one larger cell, allowing their gravity to be accounted for a single force.…”

Section: N-body Computationsmentioning

confidence: 99%

Resilient N-Body Tree Computations with Algorithm-Based Focused Recovery: Model and Performance Analysis

Cavelan

Fang

Chien

et al. 2017

Lecture Notes in Computer Science

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This paper presents a model and performance study for Algorithm-Based Focused Recovery (ABFR) applied to N-body computations, subject to latent errors. We make a detailed comparison with the classical Checkpoint/Restart (CR) approach. While the model applies to general frameworks, the performance study is limited to perfect binary trees, due to the inherent difficulty of the analysis. With ABFR, the crucial parameter is the detection interval, which bounds the error latency. We show that the detection interval has a dramatic impact on the overhead, and that optimally choosing its value leads to significant gains over the CR approach.

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“…For the same accuracy reasons, a higher-order accurate spatial scheme is implemented reducing the effect of false scattering, derived by the spatial discretization of the computational field. Particularly, a second-order scheme is used in this work, based on the well-established in CFD MUSCL (Monotone Upstream Scheme for Conservation Laws) methodology [23]. Therefore, the values of radiative intensity at the RHS of equation (4) are reconstructed prior to the implementation of the step scheme; the required gradients are obtained with the GreenGauss linear representation method [10].…”

Section: Radiative Heat Transfer Computationmentioning

confidence: 99%

“…Therefore, the values of radiative intensity at the RHS of equation (4) are reconstructed prior to the implementation of the step scheme; the required gradients are obtained with the GreenGauss linear representation method [10]. Moreover, in order to control the aforementioned reconstructed values, especially at boundary areas entailing high intensity gradients, the scheme is coupled with the Van Albada-Van Leer [23] or the Min-mod [24] slope limiters [10,11].…”

Section: Radiative Heat Transfer Computationmentioning

confidence: 99%

Comparison of Different Spatial/Angular Agglomeration Multigrid Schemes for Radiative Heat Transfer Computations

Lygidakis¹,

Nikolos²

2016

Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016)

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A Comparative Study of Computational Methods in Cosmic Gas Dynamics

Cited by 412 publications

References 15 publications

On the Development of the 3d Euler Equations Using Intrusive Pce for Uncertainty Quantification

On the Development of the 3d Euler Equations Using Intrusive Pce for Uncertainty Quantification

Resilient N-Body Tree Computations with Algorithm-Based Focused Recovery: Model and Performance Analysis

Comparison of Different Spatial/Angular Agglomeration Multigrid Schemes for Radiative Heat Transfer Computations

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