Clarification on Calculating Liquid and Ice Water Content from WRF Output

[Zephy]

Dear friends,

I am running simulations using WRF (version 3.9, Morrison double-moment microphysics scheme) and urgently need clarification on how to calculate liquid water content. I would like to confirm whether the following formulas for cloud liquid water content, total liquid water content, and cloud ice water content are correct.

• Cloud Liquid Water Content (CLWC, g/m³)
  CLWC = QCLOUD / ALT *1000；
• Liquid Water Content (LWC, g/m³)
  LWC=（QCLOUD + QRAIN） / ALT *1000；
• Cloud Ice Water Content (CIWC, g/m³)
  CIWC= （QICE + QSNOW + QGRAUP）/ ALT *1000；

Here, ALT represents the inverse of air density (i.e., ALT = 1 / ρ), based on WRF output.

Could you please let me know if these formulas are physically and mathematically correct?

Thank you in advance for your guidance.

Best regards,
Zephy