Continuity equationMomentum equationEnergy equation
m+12=pmpΔtp2ξpmp+1Ma2(um),m+1 = mpΔtpξpm+12+p1Ma2(um)um+12=um+pΔtp2RepRe(um)um+t¯mpm,um+1=um+pΔtpRep((Repum+12um+12+τ¯m+12m))Tm+12=Tm+pΔtp2PepPe(um)Tm+2Tm+Br(τ¯mp:pum),Tm+1=Tm+pΔtpPepPe(um)Tm+12+2Tm+12+Br(τ¯mp:pum).

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