An exact numerical method has been used to study a probe stagnation point in a continuum flowing plasma. The solutions for the 'low-density continuum' plasma, i.e. with mean free path<<probe radius<<Debye length are calculated for Reynolds numbers Re from 0 to 400, charged diffusion Reynolds numbers Ra_c from 0 to 10, and scaled probe potentials phi _p/ epsilon from 0 to +or-32, where phi _p=eV_p/kT_e, epsilon =T/T_e. The numerical results show that (i) the usual semi-log method for temperature determination leads to large errors; (ii) the effect of flow leads to large errors in the space potential determination; (iii) for a sufficiently large accelerating potential, the currents always show a linear dependence; (iv) approximate current expressions are suggested at smaller Reynolds numbers (Re<or=0.1) and diffusion Reynolds numbers (Ra_c<or=1).