Results 1 to 10 of about 85,258 (219)
Stable Filtering Procedures for Nodal Discontinuous Galerkin Methods [PDF]
Journal of Scientific Computing, 2021 AbstractWe prove that the most common filtering procedure for nodal discontinuous Galerkin (DG) methods is stable. The proof exploits that the DG approximation is constructed from polynomial basis functions and that integrals are approximated with high-order accurate Legendre–Gauss–Lobatto quadrature. The theoretical discussion re-contextualizes stable
Jan Nordström, Andrew R. Winters
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Stable Nodal Projection Method on Octree Grids
Journal of Computational Physics, 2023 We propose a novel collocated projection method for solving the incompressible Navier-Stokes equations with arbitrary boundaries. Our approach employs non-graded octree grids, where all variables are stored at the nodes. To discretize the viscosity and projection steps, we utilize supra-convergent finite difference approximations with sharp boundary ...
Matthew Blomquist +3 more
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A nodally bound-preserving finite element method
IMA Journal of Numerical Analysis, 2023 Abstract This work proposes a nonlinear finite element method whose nodal values preserve bounds known for the exact solution. The discrete problem involves a nonlinear projection operator mapping arbitrary nodal values into bound-preserving ones and seeks the numerical solution in the range of this projection.
Barrenechea, Gabriel R +3 more
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Nodal discontinuous Galerkin methods on graphics processors [PDF]
Journal of Computational Physics, 2009 Discontinuous Galerkin (DG) methods for the numerical solution of partial differential equations have enjoyed considerable success because they are both flexible and robust: They allow arbitrary unstructured geometries and easy control of accuracy without compromising simulation stability.
Andreas Klöckner +3 more
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A Nodal Immersed Finite Element-Finite Difference Method
SSRN Electronic Journal, 2022 The immersed finite element-finite difference (IFED) method is a computational approach to modeling interactions between a fluid and an immersed structure. The IFED method uses a finite element (FE) method to approximate the stresses, forces, and structural deformations on a structural mesh and a finite difference (FD) method to approximate the ...
David R. Wells +3 more
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Nodal SN-method for HEX-Z geometry [PDF]
Nuclear Energy and Technology, 2015 AbstractThe problem of spatial approximation becomes very important in the solution of neutronics problems with coarse spatial grids, in particular, in the calculations of fuel assemblies of fast reactors (for instance, BN-800 and BN-1200 reactors) with computational cell in the form of hexagonal prism.“Weighted diamond difference” (WDD) schemes are ...
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Modeling of evaporation of polydisperse droplets: a nodal method and a method of moments
Journal of Physics: Conference Series, 2019 © Published under licence by IOP Publishing Ltd. A method of moments for modeling evaporation of a polydisperse aerosol, taking into account the disappearance of particles for particle area and volume distributions, is developed. Curves of the time dependence of moments obtained in the framework of the method of moments with correction for accounting ...
Salahov R., Zaripov S., Gilfanov A.
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III. On the nodal-slide method of focometry [PDF]
The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, 1918 n ...
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Non-overlapping Domain Decomposition Method for a Nodal Finite Element Method [PDF]
Numerische Mathematik, 2006 A new approach is proposed for constructing non-overlapping domain decomposition procedures for solving a linear system related to a nodal finite element method. A theoretical foundation is established by a number of theorems, lemmas and appropriate terminology. An algorithm is developed but no experiments are performed for illustration.
Abderrahmane Bendali, Yassine Boubendir
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Stability of Overintegration Methods for Nodal Discontinuous Galerkin Spectral Element Methods [PDF]
Journal of Scientific Computing, 2017 We perform stability analyses for discontinuous Galerkin spectral element approximations of linear variable coefficient hyperbolic systems in three dimensional domains with curved elements. Although high order, the precision of the quadratures used are typically too low with respect to polynomial order associated with their arguments, which introduces ...
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