Shock capturing schemes are numerical methods designed to accurately simulate discontinuities, such as shocks, in fluid dynamics and hydrodynamic simulations. These methods aim to maintain stability and accuracy in the presence of steep gradients and rapid changes in flow properties, ensuring that the essential physics of shock waves are represented correctly in computational models. By employing techniques like limiters or adaptive mesh refinement, these schemes enhance the performance of numerical solvers when dealing with complex flow scenarios.
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