CE 30125 - Lecture 1p. 1.1LECTURE 1INTRODUCTIONFormulating a “Mathematical” Model versus a Physical Model•Formulate the fundamental conservation laws to mathematically describe what is physi-cally occurring. Also define the necessary constitutive relationships (relate variablesbased on observations) and boundary conditions (b.c.’s) and/or compatibilityconstraints.•Use the laws of physics applied to an object/domain to develop the governing equations.• Algebraic equations• Integral equations valid for the domain as a whole• p.d.e.’s valid at every point within the domain• e.g. Newton’s 2nd law applied to a point in a hypothetical continuum Navier-Stokes equations•Solve the resulting equations using• Analytical solutions• Numerical or discrete solutions•Verify how well you have solved the problem by comparing to measurements
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