The effect of the nuclear equation of state on high-energy heavy-ion collisions is studied in two separate ways on the basis of conventional nuclear fluid dynamics. The equation of state has the property that the speed of sound approaches the speed of light in the limit of infinite compression. In the first way, nonrelativistic equations of motion are solved for various values of the nuclear compressibility coefficient for the expansion of spherically symmetric nuclear matter. The matter is initially compressed and excited in head-on collisions of equal targets and projectiles at a laboratory bombarding energy of 250 MeV/A. When the matter expands to a freezeout density, the remaining thermal energy is superimposed in terms of a Maxwell-Boltzmann distribution. The resulting energy distributions for different values of the compressibility coefficient are similar to one another, but they are significantly different from a Maxwell-Boltzmann distribution corresponding to entirely thermal energy and moderately different from the energy distribution corresponding to the Siemens-Rasmussen approximation. In the second way, relativistic equations of motion are solved numerically in three spatial dimensions for the reaction 2°Ne + 238U at a laboratory bombarding energy per nucleon of 393 MeV/A, both with and without a density isomer. The double-differential cross section d2sigma/dEd.cap omega. corresponding both to all impact parameters and to central collisions constituting 15% of the total cross section is computed. The results for the various equations of state are very similar to one another except for central collisions at laboratory angle theta = 30° and for both central collisions and all impact parameters at theta = 150°. In these cases, over certain ranges of energy, d2sigma/dEd.cap omega. is larger for the density isomer than for conventional equations of state. 8 figures.