2022
DOI: 10.1016/j.cpc.2022.108427
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GPU-accelerated time integration of Gross-Pitaevskii equation with discrete exterior calculus

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Cited by 4 publications
(3 citation statements)
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“…We employ a cubic computational domain of 256 3 points, with pre-expansion side length L = 23 μ m and post-expansion side lengths L r = 328, L z = 511 μ m, and the results converge. A second numerical integration method based on discrete exterior calculus 43 is used for the long-time evolution.…”
Section: Methodsmentioning
confidence: 99%
“…We employ a cubic computational domain of 256 3 points, with pre-expansion side length L = 23 μ m and post-expansion side lengths L r = 328, L z = 511 μ m, and the results converge. A second numerical integration method based on discrete exterior calculus 43 is used for the long-time evolution.…”
Section: Methodsmentioning
confidence: 99%
“…In this section, we demonstrate the accuracy of the method and show its performance for a nonconvex domain. In both test cases, the interior of a three-dimensional obstacle is discretized by the six different grid types that we used earlier in transient wave simulations (see Figure 1 and references [14,15,27]). The grid types are cubic, face-centered cubic (FCC), body-centered cubic (BCC), A15, C15, and Z.…”
Section: Numerical Experimentsmentioning
confidence: 99%
“…In [15], the DEC approach was further generalized to a class of wave problems covering acoustics, elastodynamics, electromagnetism, and even quantum mechanics (the Weyl equation). Further applications in quantum mechanics were then considered in [26][27][28]. The systematization of scientific software development covering fundamental conservation laws was sketched in [29], and a generic category-theoretic framework of spacetime linear wave phenomena was finally proposed by [30] in 2022.…”
Section: Introductionmentioning
confidence: 99%