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- W2071502014 abstract "A distributed Lagrangian moving-mesh finite element method is applied to problemsinvolving changes of phase. The algorithm uses a distributed conservation principle to de-termine nodal mesh velocities, which are then used to move the nodes. The nodal values areobtained from an ALE (Arbitrary Lagrangian-Eulerian) equation, which represents a gener-alisation of the original algorithm presented in Applied Numerical Mathematics, 54:450–469(2005). Having described the details of the generalised algorithm it is validated on two testcases from the original paper and is then applied to one-phase and, for the first time, two-phase Stefan problems in one and two space dimensions, paying particular attention to theimplementation of the interface boundary conditions. Results are presented to demonstratethe accuracy and the effectiveness of the method, including comparisons against analyticalsolutions where available." @default.
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- W2071502014 date "2013-01-01" @default.
- W2071502014 modified "2023-09-27" @default.
- W2071502014 title "A Moving-Mesh Finite Element Method and its Application to the Numerical Solution of Phase-Change Problems" @default.
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- W2071502014 doi "https://doi.org/10.4208/cicp.2009.v6.595" @default.
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