| Abstract: |
| We present novel high-order finite element methods for the coupled Navier--Stokes and Onsager--Stefan--Maxwell equations, which model bulk momentum transport, multicomponent cross-diffusion and electrical effects within mixtures. We discuss some salient properties of our numerical schemes and discuss challenges that arise when discretising the governing equations. Our approach naturally extends to handle local electroneutrality when the species carry electrical charge, making our methods particularly desirable for simulating liquid electrolytes in electrochemical applications. We present numerical simulations involving (i) the microfluidic non-ideal mixing of hydrocarbons and (ii) the flow in a Hull cell of a cosolvent electrolyte mixture used in lithium-ion batteries. |
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