Time-step coupling for hybrid simulations of multiscale flows
Lockerby, Duncan A. and Duque-Daza, Carlos A. and Borg, Matthew Karl and Reese, Jason (2013) Time-step coupling for hybrid simulations of multiscale flows. Journal of Computational Physics, 237. pp. 344-365. ISSN 0021-9991 (https://doi.org/10.1016/j.jcp.2012.11.032)
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A new method is presented for the exploitation of time-scale separation in hybrid continuum-molecular models of multiscale flows. Our method is a generalisation of existing approaches, and is evaluated in terms of computational efficiency and physical/numerical error. Comparison with existing schemes demonstrates comparable, or much improved, physical accuracy, at comparable, or far greater, efficiency (in terms of the number of time-step operations required to cover the same physical time). A leapfrog coupling is proposed between the ‘macro’ and ‘micro’ components of the hybrid model and demonstrates potential for improved numerical accuracy over a standard simultaneous approach. A general algorithm for a coupled time step is presented. Three test cases are considered where the degree of time-scale separation naturally varies during the course of the simulation. First, the step response of a second-order system composed of two linearly-coupled ODEs. Second, a micro-jet actuator combining a kinetic treatment in a small flow region where rarefaction is important with a simple ODE enforcing mass conservation in a much larger spatial region. Finally, the transient start-up flow of a journal bearing with a cylindrical rarefied gas layer. Our new time-stepping method consistently demonstrates as good as or better performance than existing schemes. This superior overall performance is due to an adaptability inherent in the method, which allows the most-desirable aspects of existing schemes to be applied only in the appropriate conditions.
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Item type: Article ID code: 42815 Dates: DateEvent15 March 2013PublishedSubjects: Technology > Mechanical engineering and machinery
Science > Physics > Solid state physics. NanoscienceDepartment: Faculty of Engineering > Mechanical and Aerospace Engineering
Technology and Innovation Centre > Advanced Engineering and ManufacturingDepositing user: Pure Administrator Date deposited: 11 Feb 2013 14:50 Last modified: 03 Aug 2024 17:11 Related URLs: URI: https://strathprints.strath.ac.uk/id/eprint/42815