2021
DOI: 10.1007/s10092-021-00434-5
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Second-order well-balanced Lagrange-projection schemes for blood flow equations

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Cited by 7 publications
(12 citation statements)
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“…As it is already known, the Lagrange-projection splitting and the acoustic-transport one can be interpreted as two different ways of describing the same kind of decomposition. Indeed, it has already been illustrated the relation between the acoustic and Lagrangian numerical approximation, see for instance the following papers applied to the shallow water system [15], the gas dynamics equations [13] and the blood flow system [17]. Therefore, following the lines of these works, we present the acoustic-transport splitting for the two-layer shallow water model as it will be useful for the development of the numerical strategy.…”
Section: Acoustic Transport Splittingmentioning
confidence: 97%
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“…As it is already known, the Lagrange-projection splitting and the acoustic-transport one can be interpreted as two different ways of describing the same kind of decomposition. Indeed, it has already been illustrated the relation between the acoustic and Lagrangian numerical approximation, see for instance the following papers applied to the shallow water system [15], the gas dynamics equations [13] and the blood flow system [17]. Therefore, following the lines of these works, we present the acoustic-transport splitting for the two-layer shallow water model as it will be useful for the development of the numerical strategy.…”
Section: Acoustic Transport Splittingmentioning
confidence: 97%
“…A first difficulty is related to the fact that usually the mass variable m is introduced for the acoustic system at this stage, see for instance the previous references [15,13,17]. For example, in the shallow water system, this new variable m is defined such that ∂ m = 1 h ∂ x with h the water height.…”
Section: Acoustic Transport Splittingmentioning
confidence: 99%
See 3 more Smart Citations