A space-time meshfree method for heat transfer analysis in porous material

Porous material batteries are a new type of battery technology that uses porous materials as electrodematerials, with advantages such as long lifespan. In the present study, we manily propose a space-timemeshfree method for heat transfer problems in porous material energy storage battery. The thermalbehavior is demonstrated based on a numerical solution of the energy conservation equation. A simplespace-time meshless collocation scheme, which is based on a new type space-time radial basisfunction, is presented to get the approximate solution of the energy conservation equation. The energyconservation equation was transferred into a system of linear algebraic equations. By introducingprescribed boundary conditions, the heat transfer analysis in porous material energy storage batterycan be shown with numerical results. Numerical discussions show that the proposed meshlesscollocation method is appropriate to simulate thermal behavior in porous material energy storagebattery, while the traditionalfinite element method failed to provide the reasonable results for thetested examples in this paper.