Method of conducting a liquid-based, in particular Sous Vide, cooking process for food with a cooking hob assembly which comprises a cooking zone with at least one heating element, a controller and a temperature sensor, comprising, by the controller: - measuring a liquid temperature of liquid inside a cooking vessel placed on the heating element of the cooking zone via the temperature sensor which is at least partly immersed in the liquid; - controlling the liquid temperature of the liquid in accordance with a pre-set temperature profile over time by adequately powering (W, R, K) the heating element on which the cooking vessel is placed in dependency of the measured liquid temperature; - powering as an initial operational heat-up phase the heating element with a pre-set heat-up power level in an open or closed loop control so as to heat up the liquid to a pre-set temperature; - determining in the initial or an intermediate operational phase an amount of liquid contained in the cooking vessel and using the amount of liquid thus determined in at least one subsequent operational phase (H, W, R, K) as one of the parameters for calculating and setting the heating power level of the heating element; - entering after the heat-up phase, in particular immediately after the heat-up-phase, a wait-for-load phase, in which load changes occurring within the cooking vessel are monitored and detected by the controller; - upon detecting a load change and/or upon user confirmation, automatically transferring the cooking hob assembly into a react-to-load-phase, and operating the heating element so as to re-establish the cooking temperature prior to the load change; - subsequently to the react-to-load phase transferring the cooking hob assembly to a keep-simmering phase and, powering the heating element so as to track a pre-set cooking profile. - measuring a liquid temperature of liquid inside a cooking vessel placed on the heating element of the cooking zone via the temperature sensor which is at least partly immersed in the liquid; - controlling the liquid temperature of the liquid in accordance with a pre-set temperature profile over time by adequately powering (W, R, K) the heating element on which the cooking vessel is placed in dependency of the measured liquid temperature; - powering as an initial operational heat-up phase the heating element with a pre-set heat-up power level in an open or closed loop control so as to heat up the liquid to a pre-set temperature; - determining in the initial or an intermediate operational phase an amount of liquid contained in the cooking vessel and using the amount of liquid thus determined in at least one subsequent operational phase (H, W, R, K) as one of the parameters for calculating and setting the heating power level of the heating element; - entering after the heat-up phase, in particular immediately after the heat-up-phase, a wait-for-load phase, in which load changes occurring within the cooking vessel are monitored and detected by the controller; - upon detecting a load change and/or upon user confirmation, automatically transferring the cooking hob assembly into a react-to-load-phase, and operating the heating element so as to re-establish the cooking temperature prior to the load change; - subsequently to the react-to-load phase transferring the cooking hob assembly to a keep-simmering phase and, powering the heating element so as to track a pre-set cooking profile.