scholarly journals A domain decomposition strategy for a very high-order finite volumes scheme applied to cardiac electrophysiology

2019 ◽  
Vol 37 ◽  
pp. 101025 ◽  
Author(s):  
Yves Coudière ◽  
Rodolphe Turpault
Keyword(s):  
Domain Decomposition ◽  
Cardiac Electrophysiology ◽  
High Order ◽  
Finite Volumes ◽  
High Order Finite Volumes ◽  
Very High

scholarly journals Adaptive wavelet schemes and finite volumes

2021 ◽  
Vol 70 ◽  
pp. 107-123
Author(s):  
Daniele Del Sarto ◽  
Erwan Deriaz ◽  
Xavier Lhebrard ◽  
Mathieu Rigal
Keyword(s):  
Efficient Algorithms ◽  
High Order ◽  
Numerical Results ◽  
Finite Volumes ◽  
Third Order ◽  
Nonuniform Grids ◽  
Adaptive Wavelet ◽  
High Order Finite Volumes

We consider a procedure for combining high order finite volumes and tree-based nonuniform grids. Especially, we focus on efficient algorithms for third order multidimensional volume interpolation and communication between levels of refinement. In the end, numerical results are reviewed to validate our approach.

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

VERY HIGH-ORDER SPATIALLY IMPLICIT SCHEMES FOR COMPUTATIONAL ACOUSTICS ON CURVILINEAR MESHES

2001 ◽  
Vol 09 (04) ◽  
pp. 1259-1286 ◽  
Author(s):  
MIGUEL R. VISBAL ◽  
DATTA V. GAITONDE
Keyword(s):  
Three Dimensional ◽  
Radiation Condition ◽  
Higher Order ◽  
High Order ◽  
High Frequencies ◽  
Decomposition Strategies ◽  
The Impact ◽  
Spurious Modes ◽  
Very High ◽  
Computational Strategy

A high-order compact-differencing and filtering algorithm, coupled with the classical fourth-order Runge–Kutta scheme, is developed and implemented to simulate aeroacoustic phenomena on curvilinear geometries. Several issues pertinent to the use of such schemes are addressed. The impact of mesh stretching in the generation of high-frequency spurious modes is examined and the need for a discriminating higher-order filter procedure is established and resolved. The incorporation of these filtering techniques also permits a robust treatment of outflow radiation condition by taking advantage of energy transfer to high-frequencies caused by rapid mesh stretching. For conditions on the scatterer, higher-order one-sided filter treatments are shown to be superior in terms of accuracy and stability compared to standard explicit variations. Computations demonstrate that these algorithmic components are also crucial to the success of interface treatments created in multi-domain and domain-decomposition strategies. For three-dimensional computations, special metric relations are employed to assure the fidelity of the scheme in highly curvilinear meshes. A variety of problems, including several benchmark computations, demonstrate the success of the overall computational strategy.

Very-high-order weno schemes

2009 ◽  
Vol 228 (23) ◽  
pp. 8481-8524 ◽  
Author(s):  
G.A. Gerolymos ◽  
D. Sénéchal ◽  
I. Vallet
Keyword(s):  
High Order ◽  
Weno Schemes ◽  
Very High
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