Zobrazeno 1 - 10
of 87
pro vyhledávání: '"Dargaville, S"'
Reduction multigrids have recently shown good performance in hyperbolic problems without the need for Gauss-Seidel smoothers. When applied to the hyperbolic limit of the Boltzmann Transport Equation (BTE), these methods result in very close to $\math
Externí odkaz:
http://arxiv.org/abs/2408.08262
Previously we developed an adaptive method in angle, based on solving in Haar wavelet space with a matrix-free multigrid for Boltzmann transport problems. This method scalably mapped to the underlying P$^0$ space during every matrix-free matrix-vecto
Externí odkaz:
http://arxiv.org/abs/2301.06579
We develop a reduction multigrid based on approximate ideal restriction (AIR) for use with asymmetric linear systems. We use fixed-order GMRES polynomials to approximate $A_\textrm{ff}^{-1}$ and we use these polynomials to build grid transfer operato
Externí odkaz:
http://arxiv.org/abs/2301.05521
Publikováno v:
In Journal of Computational Physics 1 December 2024 518
This paper compares the performance of seven different element agglomeration algorithms on unstructured triangular/tetrahedral meshes when used as part of a geometric multigrid. Five of these algorithms come from the literature on AMGe multigrid and
Externí odkaz:
http://arxiv.org/abs/2005.09104
Boltzmann transport problems often involve heavy streaming, where particles propagate long distance due to the dominance of advection over particle interaction. If an insufficiently refined non-rotationally invariant angular discretisation is used, t
Externí odkaz:
http://arxiv.org/abs/1911.01747
This paper describes an angular adaptivity algorithm for Boltzmann transport applications which uses Pn and filtered Pn expansions, allowing for different expansion orders across space/energy. Our spatial discretisation is specifically designed to us
Externí odkaz:
http://arxiv.org/abs/1903.05466
This paper describes an angular adaptivity algorithm for Boltzmann transport applications which for the first time shows evidence of $\mathcal{O}(n)$ scaling in both runtime and memory usage, where $n$ is the number of adapted angles. This adaptivity
Externí odkaz:
http://arxiv.org/abs/1901.04929
Publikováno v:
In International Journal of Heat and Mass Transfer September 2021 176
Publikováno v:
In Journal of Computational Physics 15 November 2020 421