The phrase "flump down" refers to the action of collapsing or falling into a seated or lying position with a heavy thud. There are several synonyms that can be used to describe this action, including slump, plop, flop, plonk, and sprawl. Slump implies a gradual sinking or decline, while plop emphasizes the suddenness of the movement. Flop and plonk both suggest a heavy, ungraceful fall, and sprawl often implies a lack of control or coordination. Regardless of which synonym is used, they all convey a sense of sudden and heavy descent that can be both comical and awkward.