A semi-implicit space-time CE-SE method to improve mass conservation through tapered ducts in internal combustion engines. (English) Zbl 1117.65352
Summary: We present a semi-implicit method based on the CE-SE numerical scheme (space time conservation-element and solution-element). In particular, we apply this method to a hyperbolic system that models the dynamics of an unsteady flow along a tapered duct with friction and heat transfer. Conditions on the scheme in order to get real numerical solutions are given. The improvement that offers the semi-implicit method versus the scheme CE-SE is compared by means of numerical simulations based on the property of the mass conservation.
MSC:
| 65M06 | Finite difference methods for initial value and initial-boundary value problems involving PDEs |
| 76N15 | Gas dynamics (general theory) |
| 80M20 | Finite difference methods applied to problems in thermodynamics and heat transfer |
References:
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