Described herein are techniques pertaining to real-time propagation of an arbitrary audio signal in a fixed virtual environment with dynamic audio sources and receivers. A wave-based numerical simulator is configured to compute response signals in the virtual environment with respect to a sample signal at various source and receiver locations. The response signals are compressed and placed in the frequency domain to generate frequency responses. Such frequency responses are selectively convolved with the arbitrary audio signal to allow real-time propagation with moving sources and receivers in the virtual environment.