scholarly journals Level set methods for detonation shock dynamics using high-order finite elements

2017 ◽  
Author(s):  
V. A. Dobrev ◽  
F. C. Grogan ◽  
T. V. Kolev ◽  
R Rieben ◽  
V. Z. Tomov
Keyword(s):  
Finite Elements ◽  
Level Set ◽  
Level Set Methods ◽  
High Order ◽  
Shock Dynamics ◽  
Detonation Shock

scholarly journals Level Set Methods Applied to Modeling Detonation Shock Dynamics

1996 ◽  
Vol 126 (2) ◽  
pp. 390-409 ◽  
Author(s):  
Tariq D. Aslam ◽  
John B. Bdzil ◽  
D.Scott Stewart
Keyword(s):  
Level Set ◽  
Level Set Methods ◽  
Shock Dynamics ◽  
Detonation Shock

scholarly journals Enablers for high-order level set methods in fluid mechanics

2015 ◽  
Vol 79 (12) ◽  
pp. 654-675 ◽  
Author(s):  
Francky Luddens ◽  
Michel Bergmann ◽  
Lisl Weynans
Keyword(s):  
Fluid Mechanics ◽  
Level Set ◽  
Level Set Methods ◽  
High Order

scholarly journals High-Order Finite-Element Framework for the Efficient Simulation of Multifluid Flows

Mathematics ◽  
2018 ◽  
Vol 6 (10) ◽  
pp. 203 ◽  
Author(s):  
Thibaut Metivet ◽  
Vincent Chabannes ◽  
Mourad Ismail ◽  
Christophe Prud’homme
Keyword(s):  
Finite Elements ◽  
Level Set ◽  
Stokes Equations ◽  
Three Dimensional ◽  
Time Discretization ◽  
High Order ◽  
Navier Stokes ◽  
Mathematical Framework ◽  
Navier Stokes Equations ◽  
Coupling Approach

In this paper, we present a comprehensive framework for the simulation of Multifluid flows based on the implicit level-set representation of interfaces and on an efficient solving strategy of the Navier-Stokes equations. The mathematical framework relies on a modular coupling approach between the level-set advection and the fluid equations. The space discretization is performed with possibly high-order stable finite elements while the time discretization features implicit Backward Differentation Formulae of arbitrary order. This framework has been implemented within the Feel++ library, and features seamless distributed parallelism with fast assembly procedures for the algebraic systems and efficient preconditioning strategies for their resolution. We also present simulation results for a three-dimensional Multifluid benchmark, and highlight the importance of using high-order finite elements for the level-set discretization for problems involving the geometry of the interfaces, such as the curvature or its derivatives.

Guided and Leaky Modes of Planar Waveguides: Computation via High Order Finite Elements and Iterative Methods

PIERS Online ◽  
2010 ◽  
Vol 6 (7) ◽  
pp. 669-673 ◽  
Author(s):  
David Stowell ◽  
Johannes Tausch
Keyword(s):  
Finite Elements ◽  
Iterative Methods ◽  
High Order ◽  
Planar Waveguides ◽  
Leaky Modes

scholarly journals A non-overlapping Schwarz domain decomposition method with high-order finite elements for flow acoustics

2020 ◽  
Vol 369 ◽  
pp. 113223
Author(s):  
Alice Lieu ◽  
Philippe Marchner ◽  
Gwénaël Gabard ◽  
Hadrien Bériot ◽  
Xavier Antoine ◽  
...  
Keyword(s):  
Finite Elements ◽  
Domain Decomposition ◽  
Decomposition Method ◽  
Domain Decomposition Method ◽  
High Order ◽  
Overlapping Schwarz

scholarly journals A New Mixed Functional-probabilistic Approach for Finite Element Accuracy

2020 ◽  
Vol 20 (4) ◽  
pp. 799-813
Author(s):  
Joël Chaskalovic ◽  
Franck Assous
Keyword(s):  
Finite Element ◽  
Finite Elements ◽  
Asymptotic Relation ◽  
Probabilistic Approach ◽  
Random Variable ◽  
High Order ◽  
Relative Accuracy ◽  
The Difference ◽  
New Perspective

AbstractThe aim of this paper is to provide a new perspective on finite element accuracy. Starting from a geometrical reading of the Bramble–Hilbert lemma, we recall the two probabilistic laws we got in previous works that estimate the relative accuracy, considered as a random variable, between two finite elements {P_{k}} and {P_{m}} ({k<m}). Then we analyze the asymptotic relation between these two probabilistic laws when the difference {m-k} goes to infinity. New insights which qualify the relative accuracy in the case of high order finite elements are also obtained.

Reconstructing 3D Buildings from LIDAR Using Level Set Methods

2013 ◽  
Author(s):  
Saad R. Khattak ◽  
Daniel S. Buckstein ◽  
Andrew Hogue
Keyword(s):  
Level Set ◽  
Level Set Methods

scholarly journals High-order curvilinear finite elements for axisymmetric Lagrangian hydrodynamics

2013 ◽  
Vol 83 ◽  
pp. 58-69 ◽  
Author(s):  
Veselin A. Dobrev ◽  
Truman E. Ellis ◽  
Tzanio V. Kolev ◽  
Robert N. Rieben
Keyword(s):  
Finite Elements ◽  
High Order ◽  
Lagrangian Hydrodynamics
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