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Central Compact-Reconstruction WENO Methods

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자료유형학위논문
서명/저자사항Central Compact-Reconstruction WENO Methods.
개인저자Cooley, Kilian.
단체저자명University of Maryland, College Park. Applied Mathematics and Scientific Computation.
발행사항[S.l.]: University of Maryland, College Park., 2018.
발행사항Ann Arbor: ProQuest Dissertations & Theses, 2018.
형태사항180 p.
기본자료 저록Dissertations Abstracts International 81-02B.
Dissertation Abstract International
ISBN9781085562881
학위논문주기Thesis (Ph.D.)--University of Maryland, College Park, 2018.
일반주기 Source: Dissertations Abstracts International, Volume: 81-02, Section: B.
Advisor: Baeder, James D.
이용제한사항This item must not be sold to any third party vendors.
요약High-order compact upwind schemes produce block-tridiagonal systems due to performing the reconstruction in the characteristic variables, which is necessary to avoid spurious oscillations. Consequently they are less efficient than their non-compact counterparts except on high-frequency features. Upwind schemes lead to many practical drawbacks as well, so it is desirable to have a compact scheme that is more computationally efficient at all wavenumbers that does not require a characteristic decomposition. This goal cannot be achieved by upwind schemes so we turn to the central schemes, which by design require neither a Riemann solver nor a determination of upwind directions by characteristic decomposition. In practice, however, central schemes of fifth or higher order apparently need the characteristic decomposition to fully avoid spurious oscillations. The literature provides no explanation for this fact that is entirely convincing
일반주제명Applied mathematics.
Aerospace engineering.
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