What Do You Understand By Stability Criterion For The Solution Of Tra

1.	What Do You Understand By Stability Criterion For The Solution Of Transient Problems?
Answer» When SOLVING transient problems using finite-difference methods, it is possible that the solution undergoes numerically induced oscillations and becomes unstable i.e. the TEMPERATURE values diverge. The stability CRITERION is a restriction on the values of Dt and Dx which ENSURES that the solution remains STABLE and converges. The criterion is usually expressed as a function of Fourier’s number. When solving transient problems using finite-difference methods, it is possible that the solution undergoes numerically induced oscillations and becomes unstable i.e. the temperature values diverge. The stability criterion is a restriction on the values of Dt and Dx which ensures that the solution remains stable and converges. The criterion is usually expressed as a function of Fourier’s number.

What Do You Understand By Stability Criterion For The Solution Of Transient Problems?

Answer»

When SOLVING transient problems using finite-difference methods, it is possible that the solution undergoes numerically induced oscillations and becomes unstable i.e. the TEMPERATURE values diverge. The stability CRITERION is a restriction on the values of Dt and Dx which ENSURES that the solution remains STABLE and converges. The criterion is usually expressed as a function of Fourier’s number.

When solving transient problems using finite-difference methods, it is possible that the solution undergoes numerically induced oscillations and becomes unstable i.e. the temperature values diverge. The stability criterion is a restriction on the values of Dt and Dx which ensures that the solution remains stable and converges. The criterion is usually expressed as a function of Fourier’s number.

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