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In most cases authors are permitted to post their version of the article (e.g. in Word or Tex form) to their personal website or institutional repository. Authors requiring further information regarding Elsevier's archiving and manuscript policies are encouraged to visit: a b s t r a c t In this paper, we design numerical methods for a PDE system arising in(More)
An efficient method for the synthesis of multidentate molecules, with various building blocks, such as pyrazolyl, triazolyl, pyridyl, furyl, or bispinidyl derivatives, is reported. This approach is based on the condensation of easily available N-alkyl heteroarylamines with N-hydroxymethyl pyrazoles or triazoles.
We consider the numerical solution of the free boundary Bernoulli problem by employing level set formulations. Using a perturbation technique, we derive a second order method that leads to a fast iteration solver. The iteration procedure is adapted in order to work in the case of topology changes. Various numerical experiments confirm the efficiency of the(More)
We present a numerical method based on a level set formulation to solve the Bernoulli problem. The formulation uses time as a parameter of boundary evolution. The level set formulation enables to consider non connected domains. Numerical experiments show the efficiency of the method if boundary conditions are handled accurately. In particular, the case of(More)
In this paper, we present a model and a numerical method of the fuse element heating including solid-liquid-vapour phase transitions in order to evaluate the pre-arcing time in HBC fuses. The mathematical model is based on the enthalpy formulation of the heat equation with a source term representing the Joule effect coupled with the Laplace equation for the(More)
A nite volume method for the numerical solution of axisymmetric inviscid swirling ows is presented. The governing equations of the ow are the axisymmetric com-pressible Euler equations including swirl (or tangential) velocity. A rst-order scheme is introduced. In this one, convective uxes at cell interfaces are evaluated by the Rusanov or the HLLC numerical(More)