continumodel
continumodel is a term used to describe a class of mathematical and computational models that describe a system using continuous variables and fields rather than discrete agents. In a continumodel, state variables such as density, temperature, velocity, momentum, or concentration are defined over a continuous spatial domain and evolve smoothly in time. This approach emphasizes macroscopic behavior and often relies on conservation laws and constitutive relations to derive governing equations.
Mathematically, continumodels are typically formulated with differential equations, including partial differential equations for fields that vary
Continumodels have wide applicability across disciplines. In physics and engineering, continuum mechanics and fluid dynamics describe
Limitations include the neglect of microscopic granularity, discrete events, and stochastic fluctuations; validity depends on scale