“Non-Hermitian Absorbing Layers for Schr?dinger?s Smoke” by Hirasawa, Kanai and Ando – ACM SIGGRAPH HISTORY ARCHIVES

“Non-Hermitian Absorbing Layers for Schr?dinger?s Smoke” by Hirasawa, Kanai and Ando

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Title:

    Non-Hermitian Absorbing Layers for Schr?dinger?s Smoke

Session/Category Title:   Animation & Simulation


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Abstract:


    We propose a novel non-Hermitian absorbing layer method for unconditionally stable open boundary conditions in incompressible Schr?dinger flow, which dissipates velocity without auxiliary variables while retaining the benefits of the original incompressible Schr?dinger flow and facilitating implementation.

References:


    [1]
    Albert Chern. 2019. A reflectionless discrete perfectly matched layer. J. Comput. Phys. 381 (2019), 91?109. https://doi.org/10.1016/j.jcp.2018.12.026

    [2]
    Albert Chern, Felix Kn?ppel, Ulrich Pinkall, Peter Schr?der, and Steffen Wei?mann. 2016. Schr?dinger?s Smoke. ACM Trans. Graph. 35, 4, Article 77 (July 2016), 13 pages. https://doi.org/10.1145/2897824.2925868

    [3]
    Andreas S?derstr?m, Matts Karlsson, and Ken Museth. 2010. A PML-Based Nonreflective Boundary for Free Surface Fluid Animation. ACM Trans. Graph. 29, 5, Article 136 (Nov. 2010), 17 pages. https://doi.org/10.1145/1857907.1857912

    [4]
    Andreas S?derstr?m and Ken Museth. 2009. Non-Reflective Boundary Conditions for Incompressible Free Surface Fluids. In SIGGRAPH 2009: Talks (New Orleans, Louisiana) (SIGGRAPH ?09). Association for Computing Machinery, New York, NY, USA, Article 4, 1 pages. https://doi.org/10.1145/1597990.1597994


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