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000885678 1001_ $$0P:(DE-Juel1)186070$$aChayambuka, Kudakwashe$$b0$$ufzj
000885678 245__ $$aA Hybrid backward Euler Control Volume Method To Solve The Concentration-dependent Solid-State Diffusion Problem in Battery Modeling
000885678 260__ $$aNew York, NY [u.a.]$$bSpringer$$c2020
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000885678 520__ $$aSeveral efficient analytical methods have been developed to solve the solid-state diffusion problem, for constant diffusion coefficient problems. However, these methods cannot be applied for concentration-dependent diffusion coefficient problems and numerical methods are used instead. Herein, grid-based numerical methods derived from the control volume discretization are presented to resolve the characteristic nonlinear system of partial differential equations. A novel hybrid backward Euler control volume (HBECV) method is presented which requires only one iteration to reach an implicit solution. The HBECV results are shown to be stable and accurate for a moderate number of grid points. The computational speed and accuracy of the HBECV, justify its use in battery simulations, in which the solid-state diffusion coefficient is a strong function of the concentration.
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000885678 7001_ $$0P:(DE-HGF)0$$aMulder, Grietus$$b1
000885678 7001_ $$0P:(DE-Juel1)173719$$aDanilov, Dmitri$$b2$$ufzj
000885678 7001_ $$0P:(DE-Juel1)165918$$aNotten, Peter H. L.$$b3$$eCorresponding author$$ufzj
000885678 773__ $$0PERI:(DE-600)2037336-3$$a10.4236/jamp.2020.86083$$p1066-1080$$tJournal of applied mechanics and technical physics$$v8$$x0021-8944$$y2020
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000885678 9101_ $$0I:(DE-HGF)0$$6P:(DE-Juel1)186070$$a University of Technology Eindhoven$$b0
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