Higher-order time integration through smooth mesh deformation for 3D fluid–structure interaction simulations
In this paper, we present a higher-order accurate in time, partitioned integration scheme (IMEX) for fluid–structure interaction. The scheme is based on a combination of an implicit, L-stable, multi-stage Runge–Kutta scheme and an explicit Runge–Kutta scheme. Fluid and structure dynamics are integra...
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| Vydané v: | Journal of computational physics Ročník 224; číslo 1; s. 414 - 430 |
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| Hlavní autori: | , , |
| Médium: | Journal Article |
| Jazyk: | English |
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20.05.2007
Elsevier |
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| ISSN: | 0021-9991, 1090-2716 |
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| Abstract | In this paper, we present a higher-order accurate in time, partitioned integration scheme (IMEX) for fluid–structure interaction. The scheme is based on a combination of an implicit,
L-stable, multi-stage Runge–Kutta scheme and an explicit Runge–Kutta scheme. Fluid and structure dynamics are integrated using the implicit scheme and only the pressure loads acting on the structure are integrated explicitly.
For an academic problem we show that mesh optimization functions, which are often necessary in standard mesh deformation algorithms, can have a detrimental effect on the temporal order and accuracy. We use a radial basis function (RBF) interpolation with a thin plate spline to create a smooth displacement field for the whole fluid domain, which does not affect the order of the IMEX time integration scheme. For reasonable accuracies, the IMEX schemes outperform a second-order staggered scheme by a factor of 2–3.
As an example for a three-dimensional, real-world problem, a simulation of a transonic wing flutter case, the AGARD 445.6 wing, is performed. For this test case, a clear third-order time accuracy is observed for IMEX3. |
|---|---|
| AbstractList | In this paper, we present a higher-order accurate in time, partitioned integration scheme (IMEX) for fluid-structure interaction. The scheme is based on a combination of an implicit, L-stable, multi-stage Runge-Kutta scheme and an explicit Runge-Kutta scheme. Fluid and structure dynamics are integrated using the implicit scheme and only the pressure loads acting on the structure are integrated explicitly. For an academic problem we show that mesh optimization functions, which are often necessary in standard mesh deformation algorithms, can have a detrimental effect on the temporal order and accuracy. We use a radial basis function (RBF) interpolation with a thin plate spline to create a smooth displacement field for the whole fluid domain, which does not affect the order of the IMEX time integration scheme. For reasonable accuracies, the IMEX schemes outperform a second-order staggered scheme by a factor of 2-3. As an example for a three-dimensional, real-world problem, a simulation of a transonic wing flutter case, the AGARD 445.6 wing, is performed. For this test case, a clear third-order time accuracy is observed for IMEX3. In this paper, we present a higher-order accurate in time, partitioned integration scheme (IMEX) for fluid–structure interaction. The scheme is based on a combination of an implicit, L-stable, multi-stage Runge–Kutta scheme and an explicit Runge–Kutta scheme. Fluid and structure dynamics are integrated using the implicit scheme and only the pressure loads acting on the structure are integrated explicitly. For an academic problem we show that mesh optimization functions, which are often necessary in standard mesh deformation algorithms, can have a detrimental effect on the temporal order and accuracy. We use a radial basis function (RBF) interpolation with a thin plate spline to create a smooth displacement field for the whole fluid domain, which does not affect the order of the IMEX time integration scheme. For reasonable accuracies, the IMEX schemes outperform a second-order staggered scheme by a factor of 2–3. As an example for a three-dimensional, real-world problem, a simulation of a transonic wing flutter case, the AGARD 445.6 wing, is performed. For this test case, a clear third-order time accuracy is observed for IMEX3. |
| Author | Bijl, H. van Zuijlen, A.H. de Boer, A. |
| Author_xml | – sequence: 1 givenname: A.H. surname: van Zuijlen fullname: van Zuijlen, A.H. email: a.h.vanzuijlen@tudelft.nl – sequence: 2 givenname: A. surname: de Boer fullname: de Boer, A. – sequence: 3 givenname: H. surname: Bijl fullname: Bijl, H. |
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| Keywords | Higher-order time integration Fluid–structure interaction Partitioned coupling Mesh deformation Second order Deformation Fluid dynamics Third order Fluid-structure interaction Optimization Spline Calculation methods Interpolation Algorithms Calculation |
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| Snippet | In this paper, we present a higher-order accurate in time, partitioned integration scheme (IMEX) for fluid–structure interaction. The scheme is based on a... In this paper, we present a higher-order accurate in time, partitioned integration scheme (IMEX) for fluid-structure interaction. The scheme is based on a... |
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| SubjectTerms | Computational techniques Exact sciences and technology Fluid–structure interaction Higher-order time integration Mathematical methods in physics Mesh deformation Partitioned coupling Physics |
| Title | Higher-order time integration through smooth mesh deformation for 3D fluid–structure interaction simulations |
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