2016
DOI: 10.1002/fld.4271
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Abstract: SUMMARYNumerical oscillation has been an open problem for high order numerical methods with increased local degrees of freedom (DOFs). Current strategies mainly follow the limiting projections derived originally for conventional finite volume methods, and thus are not able to make full use of the sub-cell information available in the local high order reconstructions. This paper presents a novel algorithm which introduces a nodal-value based weighted essentially non-oscillatory limiter for constrained interpola… Show more

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Cited by 8 publications
(7 citation statements)
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References 63 publications
(150 reference statements)
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“…Recently, a WENO-limiter devised for the CIP-CSL scheme (CIP-CSL-WENO4) was proposed by Sun et al [33].…”
Section: Cip-csl-weno4 Schemementioning
confidence: 99%
See 1 more Smart Citation
“…Recently, a WENO-limiter devised for the CIP-CSL scheme (CIP-CSL-WENO4) was proposed by Sun et al [33].…”
Section: Cip-csl-weno4 Schemementioning
confidence: 99%
“…In the CIP-CSL3-ENO scheme, an ENO indicator is designed, which intentionally selects the non-smooth stencil but can efficiently minimize numerical oscillations. Moreover, Sun et.al [33] proposed a weighted essentially non-oscillatory (WENO) limiter for the CIP-CSL scheme (CIP-CSL-WENO4) to achieve fourth-order accuracy for the smooth solution and keep the WENO property [34,35] for discontinuities. The CIP-CSL-WENO4 scheme manifests the fourth-order accuracy and oscillation-suppressing property for both scalar and Euler conservation laws.…”
Section: Introductionmentioning
confidence: 99%
“…At a certain time point, t, the fluid properties at a specific location, i.e. Sun et al [20] developed a high-order semi-Lagrangian scheme based on finite volume method and a non-oscillatory limiter to control the numerical oscillation, an open problem for high-order numerical methods. the opposite direction of the flow) along the characteristic curve to find the departure point, at which the fluid properties of the previous time moment, t À Δt, are considered the same as those of time t at the arrival point.…”
Section: Introductionmentioning
confidence: 99%
“…poor conservation of advected properties and/or high numerical dissipations [7,17]. During the past decades, many researchers have tried to solve the problems by developing better discretization schemes [18,19], high-order interpolation schemes [20,21], and hybrid methods combining interpolation schemes with different orders [7]. Zerroukat [17] proposed a semi-Lagrangian method equipped with conservative remapping scheme.…”
Section: Introductionmentioning
confidence: 99%
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