An implicit time marching Galerkin method for the simulation of icing phenomena with a triple layer model

In the context of more electrical aircraft and reduction of fuel consumption, aircraft manufacturers are moving towards more complex and transient ice protection systems. The operating of these systems involves several unsteady heat and mass transfer phenomena. Modelling and numerical simulation pla...

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Bibliographic Details
Published in:Finite elements in analysis and design 2018-10, Vol.150, p.20-33
Main Authors: Chauvin, R., Bennani, L., Trontin, P., Villedieu, P.
Format: Article
Language:English
Subjects:
Aircraft industry
Computer simulation
Engineering Sciences
Finite element analysis
Finite element method
Fluids mechanics
Fly by wire control
Galerkin method
Heat transfer
Ice formation
Icing
Mass transfer
Mathematical models
Mechanics
Modelling
Numerical simulation
Partial differential equations
Protection systems
Runback
Simulation
Time marching
Triple layer
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Summary:In the context of more electrical aircraft and reduction of fuel consumption, aircraft manufacturers are moving towards more complex and transient ice protection systems. The operating of these systems involves several unsteady heat and mass transfer phenomena. Modelling and numerical simulation play an important role in the investigation of these unsteady phenomena. In this paper, a model for unsteady ice build-up and melting is presented. The model is based on a triple layer assumption. In addition, a tailored numerical methodology for solving the governing partial differential equations is also described. It is based on a Galerkin finite element method and a Gauss-Seidel like implicit time marching scheme. The global method is validated and its capabilities are demonstrated on several cases. •Development of a unified unsteady triple layer ice accretion model.•Development of an implicit time marching Galerkin finite element numerical discretization method for icing simulations.•Simulation of unsteady delayed activation icing cases with formation of runback ice shapes.
ISSN:0168-874X
1872-6925
DOI:10.1016/j.finel.2018.07.003