This invention relates to high precision, fluid-containing, transducer-based accelerometers that are capable of measuring acceleration, inclination, position and velocity by measuring the electronic response of a transducer to fluid flow caused by external acceleration or by free convection. The accelerometers of this invention are capable of varying the local density of the fluid, thereby creating a volume of fluid with a lower or higher density compared to the rest of the fluid in the accelerometer. The movement of this volume of lower or higher density fluid as a result of external acceleration is measured to determine the external acceleration.