How is it identified whether a vector is pointing outwards or inwards?(a) Sign of the vector joining the element’s centroid with the face’s centroid is used(b) Sign of the surface vector is used(c) Cross product of the surface vector and the vector joining the element’s centroid with the face’s centroid(d) Dot product of the surface vector and the vector joining the element’s centroid with the face’s centroidI have been asked this question by my college director while I was bunking the class.Asked question is from The Geometry of FVM Elements in portion Finite Volume Methods of Computational Fluid Dynamics

How is it identified whether a vector is pointing outwards or inwards?

1.	How is it identified whether a vector is pointing outwards or inwards?(a) Sign of the vector joining the element’s centroid with the face’s centroid is used(b) Sign of the surface vector is used(c) Cross product of the surface vector and the vector joining the element’s centroid with the face’s centroid(d) Dot product of the surface vector and the vector joining the element’s centroid with the face’s centroidI have been asked this question by my college director while I was bunking the class.Asked question is from The Geometry of FVM Elements in portion Finite Volume Methods of Computational Fluid Dynamics
Answer» Correct answer is (d) Dot product of the surface VECTOR and the vector joining the element’s centroid with the FACE’s centroid Explanation: The vector joining the centroid of the element with the centroid of the face always POINTS outwards. So, the dot product of this vector with the surface vector is FOUND. If the sign of the dot product is POSITIVE, the surface vector points outwards. Otherwise, it points inwards.

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