Quantum Accelerated Solver uses tensor-network algorithms to dramatically reduce the computational cost of simulating complex systems in fields such as aerospace, finance, and climate modelling. Running on existing high-performance computers, it compresses simulations while maintaining accuracy and lays the groundwork for future quantum acceleration. Compatible with standard CFD inputs, the framework delivers rapid, transparent results with engineering-grade error estimates. This approach enables faster design cycles, saves energy, and opens new simulation regimes previously deemed intractable