Data output from the numerical flow modelling in GRL manuscript ""Evidence for the top-down control of lava domes on magma ascent dynamics"", by Marsden, L., Neuberg, J. & Thomas, M., all of University of Leeds. The models were created using the Laminar Flow module in COMSOL Multiphysics v5.4 by L. Marsden. The following files are uploaded: Archive_Reference_Model.txt (Reference flow model: Gas loss function, Initial H2O content = 4.5 wt.% Excess pressure at depth = 10 MPa, Constant corresponding to crystal growth rate = 4e-6 s^-1 ) Archive_High_H2O.txt (Gas loss function, Initial H2O content = 10 wt.% Excess pressure at depth = 10 MPa, Constant corresponding to crystal growth rate = 4e-6 s^-1) Archive_No_Gas_Loss.txt (No gas loss, Initial H2O content = 4.5 wt.% Excess pressure at depth = 10 MPa, Constant corresponding to crystal growth rate = 4e-6 s^-1) Archive_Gamma_Low.txt (Gas loss function, Initial H2O content = 4.5 wt.% Excess pressure at depth = 10 MPa, Constant corresponding to crystal growth rate = 1e-6 s^-1) Archive_Excess_Pressure_0MPa.txt (Gas loss function, Initial H2O content = 4.5 wt.% Excess pressure at depth = 0 MPa, Constant corresponding to crystal growth rate = 4e-6 s^-1) Archive_Excess_Pressure_20MPa.txt (Gas loss function, Initial H2O content = 4.5 wt.% Excess pressure at depth = 20 MPa, Constant corresponding to crystal growth rate = 4e-6 s^-1) The files uploaded include the reference flow model and where a single key parameter has been changed in the flow modelling. We include data where the key parameter is at the upper or lower limit of the values tested. Data are not included where magma ascent is modelled to stall without the extrusion of a lava dome, as a time dependent model is not run in this case. A solution is provided using equilibrium modelling only. The following variables are output, at conduit centre unless specified: Depth (m), Time(s), Ascent velocity (m/s), Bulk Viscosity (Pa s), Crystal Content, Dome height (m), Gas Volume Fraction, Overpressure (Pa), Shear Stress at Conduit Wall (Pa)